MASARYKOVA UNIVERZITA Přírodovědecká fakulta Ustav teoretické fyziky a astrofyziky Systematický výzkum horkých atmosfér obklopujících SO galaxie Diplomová práce Anna J uránová Vedoucí práce: doc. Mgr. Norbert Werner, P h . D . Brno 2019 Bibliografický záznam Autorka: N á z e v práce: S t u d i j n í program: S t u d i j n í obor: V e d o u c í p r á c e : A k a d e m i c k ý rok: P o č e t stran: K l í č o v á slova: Bc. A n n a Juráňová Přírodovědecká fakulta, Masarykova univerzita Ustav teoretické fyziky a astrofyziky Systematický výzkum horkých atmosfér obklopujících SO galaxie Fyzika Teoretická fyzika a astrofyzika doc. Mgr. Norbert Werner, P h . D . 2018/2019 ix + 59 čočkovité galaxie, aktivní galaxie, rentgenová spektroskopie, horký plyn Bibliographie Entry Author: Title of Thesis: Degree Programme: Field of study: Supervisor: Academic Year: Number of Pages: Keywords: Be. A n n a Jurahova Faculty of Science, Masaryk University Department of Theoretical Physics and Astrophysics A systematic study of the hot gaseous atmospheres of SO galaxies Physics Theoretical Physics and Astrophysics doc. Mgr. Norbert Werner, P h . D . 2018/2019 ix + 59 lenticular galaxies, active galaxies, X-ray spectroscopy, hot gas Abstrakt Ř a d a masivních eliptických a čočkovitých galaxií, včetně těch s nezanedbatelným momentem hybnosti, je prostoupena plynem o teplotách v řádu milionů kelvinů. Studie procesů formujících termodynamický stav horkého plynu v nerotujících galaxiích jsou publikovány již několik desítek let, avšak fyzikální vlastnosti horkých atmosfér těch rotujících dosud nebyly systematicky analyzovány. V t é t o práci, zaměřené právě na studium vlastností horkého plynu v rychle rotujících čočkovitých galaxiích, se zabýváme analýzou pozorování rentgenové observatoře XMM-Newton. Z měření vyplývá, že entropie je v centrálních oblastech atmosfér rotujících galaxií zvýšená a její radiální n á r ů s t je pozvolný, což ve srovnání s nerotujícícmi objekty odpovídá jejich efektivnějšímu ohřevu. N a základě změřeného systematicky nižšího tlaku plynu, i při zohlednění celkové hmotnosti těchto galaxií, usuzujeme, že jejich horké atmosféry mohou být expandující. Abstract Many massive elliptical and lenticular galaxies, including those with a significant net angular momentum, are permeated by gas heated to millions of kelvins. Processes shaping the thermodynamic state of the hot gas in non-rotating massive galaxies have been studied over the last few decades. However, the physical properties of rotating hot atmospheres and their connection to colder gas phases have not been investigated systematically. Here, we present a study focused on properties of the hot gas in a sample of fast-rotating lenticular galaxies, observed with the X-ray observatory XMM-Newton. In comparison with slow-rotating systems, we measured an enhancement in central entropy and overall flatter radial entropy profiles in rotating galaxies, indicative of relatively higher efficiency of gas-heating in the central regions of these galaxies. We found that the gas pressure in these objects is systemically lower, regardless of the total galaxy mass, and conclude that the hot atmospheres of these objects could be outflowing. MASARYKOVA UNIVERZITA Prírodovedecká fakulta ZADÁNÍ DIPLOMOVÉ PRÁCE Akademický rok: 2017/2018 Ustav: Ústav teoretické fyziky a astrofyziky Studentka: Be. Anna J uranová Program: Fyzika Obor: Teoretická fyzika a astrofyzika Směr: Astrofyzika Ředitel Ústavu teoretické fyziky a astrofyziky PřF MU Vám ve smyslu Studijního a zkušebního řádu MU určuje diplomovou práci s názvem: Název práce anglicky: A systematic study of the hot gaseous atmospheres of SO galaxies Oficiální zadání: Massive early type galaxies are known to harbour extended atmospheres of hot X-ray emitting gas. A systematic study of the thermodynamic properties of the hot X-ray emitting haloes has hitherto only been performed for samples of nonrotating giant ellipticals. However, in the presence of significant angular momentum, heating from the central active galactic nuclei (AGN) and radiative cooling are likely to proceed differently. The student will analyse X-ray data for a sample of massive, rotating, SO galaxies, obtained with the XMM-Newton satellite (and possibly with the Chandra Xray observatory) and determine the morphology and thermodynamic properties of the hot X-ray emitting atmospheres surrounding these system. The student will compare the properties with those obtained for slow rotating giant elliptical galaxies. The study will inform our understanding of the role of rotation in the formation of cooling instabilities in the process of galaxy formation and evolution. Jazyk závěrečné práce: angličtina Vedoucí práce: doc. Mgr. Norbert Werner, Ph.D. Datum zadání práce: 30. 11. 2017 V Brně dne: 16.1.2018 Souhlasím se zadáním (podpis, datum): Název práce: Systematický výzkum horkých atmosfér obklopujících SO galaxie Bc. Anna Juráňová studentka doc. Mgr. Norbert Werner, Ph.D. vedoucí práce prof. Rikard von Unge, Ph.D. ředitel Ústavu teoretické fyziky a astrofyziky Poděkování M y deepest gratitude belongs to my supervisor Norbert Werner for his sincere encouragement, all the invaluable discussions, and patient guidance throughout this work. Besides m y supervisor, I would also like to thank Filip Hroch for his generous help and insightful comments, and K i r a n Lakhchaura for sharing with me her data. Many thanks belong to my family for their endless support throughout my studies. Prohlášení Prohlašuji, že jsem svoji diplomovou práci vypracovala s a m o s t a t n ě s využitím informačních zdrojů, které jsou v práci citovány. Brno, 16. května 2019 Anna Juráňová Contents Introduction ix 1 Hot gas in galaxies 1 1.1 Formation of hot haloes 1 1.2 Influence of A G N 2 1.3 Thermal stability 3 1.4 W a r m and cold gas in early-type galaxies 5 1.5 Dynamical state of X-ray atmospheres 7 2 Studied sample 8 2.1 Selection criteria 8 2.2 N G C 3607 10 2.3 N G C 3665 10 2.4 N G C 4382 10 2.5 N G C 4459 H 2.6 N G C 4526 11 2.7 N G C 5353 H 2.8 N G C 1961 12 2.9 N G C 4649 12 3 Data analysis 14 3.1 Observations 14 3.2 Data reduction 15 3.3 Extraction of spectra 16 3.4 Spectral analysis 17 4 Results 19 4.1 Hot gas morphology 19 4.2 Thermodynamic properties 22 4.3 Thermal stability 32 5 Discussion 34 5.1 Hot gas morphology and mass 34 5.2 Thermodynamic properties 36 5.3 Thermal stability 39 vii Contents viii 6 Summary and conclusions 41 A Supplementary material 42 Bibliography 47 Introduction During the unending evolution of galaxies, some processes are inevitably hidden from even the most inquisitive human eyes. Particles of gas expelled from stellar atmospheres collide with each other, some of which heat up to form hot haloes that permeate galaxies and even exceed their visible boundaries. In the other direction, from vast and seemingly empty space, gas with a density lower than in ultra-high vacuum falls into galactic gravitational potential wells and heats up to millions of kelvins to glow in X-rays as well. In denser regions of space, the gas is brought also i n a more violent manner - during mergers with other galaxies. But not every galaxy can retain this X-ray emitting atmosphere - the gas can diffuse out of the gravitational potential of the galaxy, it can be stripped off if the host galaxy flies through surrounding medium or it can cool and thus leave energies corresponding to emission of X-ray photons. The cold gas then serves as a source for a formation of new stars or falls onto a central super-massive black hole, which is then capable of launching jets and winds that heat and stir the surrounding medium. A balance between all possible processes changes from galaxy to galaxy, which challenges our understanding of not just the evolution of the hot phase, but galaxies and the Universe whole. It is well-known that spiral galaxies are rotating systems, but the same has been recently measured i n many ellipticals and, of course, lenticulars, usually referred to as a transitional type between the former two. Hot atmospheres of galaxies should follow qualitatively same dynamical properties as their stellar components, hence in fast rotating systems, X-ray haloes are subjected to a significant angular momentum. This is expected to affect processes of cooling and heating, apart from being detectable in morphological signatures of the overall motion. Observations of hot haloes of fast-rotating galaxies are more complicated than those of non-rotating giant ellipticals, which are due to entrapment in deeper potential wells hotter and more luminous. However, the importance of understanding the processes that shape these atmospheres and influence the evolution of their host galaxies lead us to a study of the X-ray emission of rotationally supported galaxies in spite of the practical obstacles. ix C H A P T E R 1 Hot gas in galaxies Highly ionized gas confined within gravitational potential wells of galaxy clusters has been successfully studied over last few decades and shed light on behaviour of a supermassive black holes ( S M B H s ; e.g. Churazov et al., 2005) residing i n centres of the brightest cluster galaxies ( B C G s ) , formation of these large-scale objects and the chemical evolution of the Universe (e.g. Mernier et al., 2017). Finely tuned and a rather gentle self-regulation process between the hot halo and an accreting S M B H (active galactic nucleus, A G N ) , the so-called A G N feedback is becoming less mysterious in these objects. However, in galaxies, where in principle this process is occurring too, its efficiency i n retaining hot haloes for billions of years and preventing them from cooling is not well understood (see e.g. Harrison, 2017). In this chapter, we summarize the current understanding of hot atmospheres on galactic scales and expectations resulting from simulations of these objects. 1.1 F o r m a t i o n of hot haloes During the growth of galaxies on cosmological time-scales, hot gaseous atmospheres were accreted externally and then augmented significantly by stellar mass loss. Today's most massive slow rotating elliptical galaxies are believed to have formed i n quick dissipative events lasting a few hundred million years, which produced massive compact galaxies that subsequently grew further i n a series of 'dry' (cold gas free) mergers. The fast rotating elliptical and lenticular (denoted SO) galaxies are believed to have formed in 'wet' (gas rich) mergers of spiral galaxies (these merging systems are often called Ultra-Luminous Infrared Galaxies - U L I R G S ) . Once the mass of the galaxy exceeded approximately 1 O 1 2 M 0 , the galaxy became surrounded by a hot X-ray emitting atmosphere. The continuous deepening of the gravitational potential i n forming galaxies accelerated clouds of extragalactic gas towards their centres. This externally gained gas was heated to the virial temperature of the galaxy, T oc GM/R. The G here is the gravitational constant, and M and R represent the galaxy mass and radius, respectively. Young stellar populations of star-forming galaxies provided heating and chemical enrichment v i a stellar winds and - mainly core-collapse - supernovae (SNe), and as the star formation slowed down, heating via stellar explosions became supplied by type l a SNe. A n imprint of these processes, translated to abundances of 1 1.2 Influence of A G N 2 heavier elements with transitions at energies in the X-ray band, should in principle be measurable from spectra of the diffuse X-ray emission. 1.2 Influence of A G N A n important role i n the evolution of the hot haloes and subsequently the whole galaxies play the central S M B H s , which reside i n many massive galaxies and whose past, as well as current, activity is often clearly visible i n X-ray observations. These black holes have masses > 106 M 0 and processes connected to accretion onto them can be broadly classified as either belonging to radiative or radio/mechanical feedback. The former one, known also as a quasar mode, is mostly associated with high luminosity A G N as most of the energy is released by radiation. The momentum transfer from radiation to matter then creates outflows of velocity ~ 1 0 3 k m s _ 1 which propagate through the galaxy, heating and lowering density of the hot medium and destroying present dust (Morganti, 2017; Barnes et al., 2018; Cielo et al., 2018). Strong radiative feedback requires a high accretion rate onto the S M B H ( M > 10~2 Medd)) which is not common in present day's ellipticals when radio-mode feedback is dominant in suppressing cooling (Churazov et al., 2005). The Eddington accretion limit is a m a x i m u m accretion rate defined for a black hole of mass M B H as M E C M = 47rGmP MBH/'(vc 0), at 2.6 m m have been established as a useful tool for the total molecular hydrogen mass estimate, via C O luminosity to H2 mass conversion, in which N(H.2)/I(1 —>• 0) = 3 x 1 0 2 0 c m - 2 ( K k m s - 1 ) - 1 (Dickman et ah, 1986). Transitions between higher rotational states C O ( J = 2 —> 1) at 1.3mm, C O ( J = 3 —> 2) at 0.87mm trace gas at increasingly higher temperatures and densities (e.g. Neininger et ah, 1998; Harris et ah, 2010). Cold molecular gas i n B C G s is most probably a result of cooling from the hot intracluster medium, predicted from the theoretical side and also observed near centres of clusters i n a form of thin filaments with lengths on kiloparsec scale (Bridges and Irwin, 1998; Conselice et ah, 2001). In less massive and smaller systems, groups and isolated galaxies, the issue is more complex, allowing other processes to come into play. Recent surveys focusing on C O emission in early-type galaxies, S A U R O N , A T L A S 3 D and M A S S I V E found the presence of molecular gas i n 28% (12/43 galaxies; Combes et ah, 2007), 2 2 % (56/259 galaxies; Young et ah, 2011) and 25 % (17/67 galaxies; Davis et ah, 2019), respectively, of studied objects. For the A T L A S 3 D sample, Young et al. (2011) found no correlation with stellar (K-band) luminosity, which implies that the molecular gas does not originate purely in stellar mass loss. Total galaxy masses in their sample are not all above the threshold for retaining hot haloes and therefore for those the origin i n condensation from hot atmospheres can be ruled out. However, i n E T G s massive enough to host hot atmospheres, Babyk et al. (2018c) found a correlation between mass X-ray halo and molecular hydrogen content. The H2 was reported to be in systems with i c o o i as short as 109 yr, indicating a condensation from hot atmospheres. Apart from a gas of various properties, dust and polycyclic aromatic hydrocarbons (PAHs) are observed in massive E T G s with cold gas in their centres, ranging from B C G s to solitary galaxies (Donahue et ah, 2011; Kokusho et ah, 2017). P A H s are produced in winds of evolved stars, just as the dust, and are generally easily destroyed by X-rays 1.5 Dynamical state of X-ray atmospheres 7 and hard U V photons. Hence, they are expected to be present in dense regions together with dust and shielded by layers of X-ray absorbing medium (Monfredini et al., 2018). 1.5 D y n a m i c a l state of X - r a y atmospheres In the general absence of strong cooling flows, hot atmospheres in isolated E T G s are usually assumed to be i n or close to hydrostatic equilibrium. However, if the global gas heating exceeds the radiative cooling, the atmosphere could change from stable to out-flowing state. Pellegrini (2012) showed i n her work that the energy injection through SNe at a given time, a function of stellar luminosity of the galaxy, becomes dominant for low luminosity systems (with L B < 3 x 1 0 1 0 LB,© derived for properties of early-type galaxies determined from usual scaling relations and for low redshift galaxies, see Pellegrini, 2012, for more details). Although other processes influencing the thermodynamic state of the hot gas operate in galaxies too, this threshold suggests that outflows are likely present in low-mass systems and can have a significant effect on properties of X-ray haloes. Furthermore, the dynamical state of the central region can be decoupled from gas at larger radii, due to which only partial outflow (or inflow) could be present. Observations of Einstein observatory revealed that the X-ray luminosity L x of early-type galaxies is related to its stellar shape. Derived ratios of L x / L B (thus independent of stellar mass) for pure ellipticals were found to be systematically higher than those of 'discy' ellipticals and SOs (Eskridge et al., 1995). The flattened shape of the gravitational potential and rotational support, which has been confirmed for flattened E T G s (Emsellem et al., 2011), should allow easier development of outflows. From the view of thermal stability, Jurahova et al. (2019) found spectral features indicating ongoing cooling i n the plane of rotation of a lenticular galaxy N G C 7049 which has a multiphase disc ranging from warm gas to cold molecular phase. The spectra extracted from regions in the perpendicular direction, where the gas should be supported only by buoyant force, were found to be consistent with single temperature gas. These findings have been attributed to effects of rotation, where the thermally unstable clumps of gas subjected to significant angular momentum are effectively slowed down i n radial direction and therefore prevented from reaching equilibrium position. This scenario has also been proposed from numerical simulations of Gaspari et al. (2017), where the C C A in rotationally supported hot atmospheres should proceed differently. In the case where rotation is the dominant motion i n the hot gas, i.e. where the rotational velocity vTOt exceeds the velocity dispersion av (as in N G C 7049), described by the so-called turbulent Taylor number T a t = vTOt/av > 1, the condensation should proceed along helical paths and lead to a creation of a multiphase disc. C H A P T E R 2 Studied sample 2.1 Selection criteria To study the properties of the hot gas i n rotating lenticular galaxies, we selected our objects based on several criteria. Given its origin, the gas motion can be probed by that of the galaxy's stellar component, which we therefore used for a selection of galaxies whose hot atmospheres are rotationally supported. The recent extensive study of the kinematics of early-type galaxies, the A T L A S 3 D Project (Cappellari et al., 2011), provides an excellent basis for this selection, as among the main results are the 2D maps of stellar velocities measured along the line of sight. Moreover, all the objects i n their sample have distances below 42 M p c , which makes them satisfy a straightforward requirement on sufficient proximity, which would allow us to perform a spatially resolved analysis of their extended X-ray emitting atmospheres. Taking into account the expected properties of the observed X-ray sources and the main objectives of this work, we decided to use archival data from the X-ray space observatory XMM-Newton (X-ray Multi-Mirror Mission, Jansen et al., 2001). Compared to other X-ray telescopes with a spatial resolution needed in our case, the instruments onboard of this spacecraft are sensitive i n energies below 1 keV. This is a crucial quality for observations of SO galaxies, as the temperature of the gas scales with the total mass of the galaxy, which is i n SOs generally lower than i n giant ellipticals commonly observed in X-rays. This narrowed down the sample to six galaxies, introduced in detail in the following sections, followed by two more objects: a spiral galaxy with a hot halo - N G C 1961, and an elliptical galaxy N G C 4649, which is, according to findings i n A T L A S 3 D Project, also rotationally supported. Optical images of the whole sample are shown in F i g . 2.1. In the following sections, the studied objects are presented, focusing on properties related to A G N and stellar feedback. Table 2.1 and Table 2.2 provide a quantitative characterisation of properties relevant for this study, some of which were collected using the N A S A / I P A C Extragalactic Database1 . lr The NASA/IPAC Extragalactic Database (NED) is operated by the Jet Propulsion Laboratory, California Institute of Technology, under contract with the National Aeronautics and Space Administration. 8 2.1 Selection criteria 9 NGC 1961 • NGC 3607 NGC 3665 • • • • • • • NGC'4382 • NGC 4459 0. NGC 4526 • • —• . • NGC 4649 NGC 5353 i Figure 2.1: Optical images of the studied sample of SO galaxies, N G C 1961 and N G C 4649. The images are taken from Sloan Digital Sky Survey (SDSS, data release 7) with an exception of N G C 1961, which is from Digitalised Sky Survey 2. The solid line in the lower-left corner of every image represents a scale of 1 arcmin. 2.2 N G C 3607 10 2.2 N G C 3607 N G C 3607 is an unbarred lenticular galaxy (morphological type SAO) and the brightest member of Leo II group, and according to Giuricin et al. (2000) it is accompanied by another 18 galaxies. It has the highest S F R i n our sample, 0.42 M 0 y r _ 1 . From measurements of globular clusters kinematics, A l a b i et al. (2017) found that within five effective radii, dark matter contributes to the total enclosed mass i n this galaxy only by ~ 16 %, which is by a factor of 3 lower than i n other n o n - B C G s early-type galaxies and what is predicted from cosmological hydrodynamical simulations. What Alabi et al. propose as an explanation for this discrepancy is that the galaxy formed much later on cosmological time-scales than most of the early-type galaxies. Chandra X-ray Observatory measurements do not show evidence for an X-ray bright A G N . 2.3 N G C 3665 Another SAO type galaxy i n our sample, N G C 3665, is the brightest member of a group of 11 galaxies (Makarov and Karachentsev, 2011). It has the highest luminosity from the emission of polycyclic aromatic hydrocarbons, triggered by absorption of far-ultraviolet light, for which it can be used as a tracer of ongoing star formation. However, the star-formation rate measured by other methods is i n this system still relatively low ~ 0.1 M 0 y r " 1 . N G C 3665 is among our radio brightest SOs at 1.4 G H z and is the only one i n our sample that shows a pronounced radio activity associated with an A G N . Twin jets were observed by Very Large Array (Parma et al., 1986), and core radio emission obtained from very-large-array interferometry at 5 G H z (Liuzzo et al., 2009). T h e mass of the supermassive black hole was measured by Onishi et al. (2017) to be M . = 5.8 x 108 M 0 . 2.4 N G C 4382 This object, known also as M 85, resides i n the Virgo cluster and it is the only galaxy i n our sample, which does not have a disc of cold gas near its centre. T h e morphological type of this galaxy is SAO again, but this time, the galaxy also shows shell-like structures. These features are believed to form from in-falling smaller galaxies that oscillate i n the gravitational-potential well and form arcs of stars expanding to the outskirts of the galaxy (see e.g. Thomson, 1991). The lack of cold gas is consistent with observed low star formation, 0.002 M 0 y r _ 1 . Capetti et al. (2009) found that the core of N G C 4382 does not show any radio emission related to a central black hole, which is highly unusual for such a large earlytype galaxy. More recently, Giiltekin et al. (2011) presented results from measurements of stellar kinematics in the centre of N G C 4382 observed by Hubble Space Telescope, which suggest that this galaxy may indeed not have a S M B H . More precisely, the current black hole mass scaling relations, M , — L (Kormendy, 1993) and M , — a (Ferrarese and Merritt, 2000; Gebhardt et al., 2000), predict a significantly larger black hole mass when compared to their best-fitting value M , = 1.3 x 107 M 0 , a result consistent with an anomalously low-mass black hole, if present. This result, along 2.5 N G C 4459 11 with no signs of past A G N activity, suggests that the observed X-ray halo could be maintained purely by stellar feedback. 2.5 N G C 4459 Another member of the Virgo cluster, N G C 4459, is an unbarred lenticular galaxy with a dusty disc extending out to r ~ 0.7 kpc, with observed blue clumps suggesting a presence of newborn stars (Ferrarese et al., 2006). Unable to detect any neutral hydrogen in their observations, Lucero and Young (2013) provide only an upper limit on its mass, M m < 1.7 x 107 M 0 , despite the well measurable presence of molecular hydrogen (see Table 2.2), yielding ratio M H 2 / M H I > 21. Far- and mid-infrared emission of gas was studied i n detail by Young et al. (2009) and led to a detection of 24|im emission from a disc reaching out to r ~ 2.6 kpc, which exceeds almost four times the radius of the dusty structures and thus cannot be attributed to ongoing star formation. They also find that N G C 4459 has the so-called FIR-excess, i.e. FIR-to-radio flux density ratio exceeding a value of 3.04, a rare feature defined from observations of a large sample of galaxies i n Y u n et al. (2001). In the centre of N G C 4459, Gavazzi et al. (2018) report detection of H a emission. A n X-ray image from Chandra revealed a point source co-spatial with the centre of the galaxy, and another point source separated by ~ 4.5arcsec from the first one. 2.6 N G C 4526 The only barred lenticular galaxy (SAB) i n our sample, N G C 4526, is also a member of the Virgo Cluster. Having two occurrences i n the New General Catalogue, it is also known as N G C 4560. Hereafter, we will only use the designation N G C 4526 for this object, which is also preferred i n the scientific community. It is oriented nearly edge-on and also possesses a dusty disc i n the plane of rotation, spanning over central r ~ 1.2 kpc. Star-formation rate is i n N G C 4526 the smallest among galaxies with a dusty disc i n our sample and the P A H luminosity the second highest, ~ 17 x 1 0 4 1 W H z " 1 . A s i n the case of N G C 4459, Lucero and Young (2013) d i d not detect neutral hydrogen and only put a n upper limit onto the M m < 1.9 x 1 0 7 M Q , while the total mass of present H2 was measured well (see Table 2.2). The lower limit of their ratio is thus even larger than in N G C 4459: M H 2 / M H I > 100. Focusing on the warm gas content, Gavazzi et al. (2018) found H a emission with a disc-like morphology in this galaxy. Davis et al. (2013) measured the mass of the central supermassive black hole to be M . = 4.5 x 108 M 0 . 2.7 N G C 5353 This almost edge-on oriented galaxy is a member of H C G 68 compact group with N G C 5350 and N G C 5354 and two more objects (Hickson, 1982), accompanied by other 45 fainter galaxies and more member candidates (Tully and Trentham, 2008). It has an effective radius of only ~ 3.4 kpc, which is smaller than any of the other 5 2.8 N G C 1961 12 lenticular galaxies in this study. O'Sullivan et al. (2018) found a C O disc with a radius of 0.8kpc and also a dusty disc in the central r ~ 0.5kpc was observed (Goullaud et al., 2018). Its rotational velocity is very close to the velocity dispersion, which makes this galaxy a great example of the transition between rotation-dominated galaxies and slow rotators. This object is classified as a L I N E R (low-ionization nuclear emission-line region) galaxy (e.g. Saikia et al., 2018). Sanchez-Sutil et al. (2006) reported an X-ray bright nuclear point source emission spatially coincident with a radio source, which can be associated with a central A G N . Finoguenov et al. (2007) studied the hot intragroup medium of H C G 68, finding the temperature of the gas i n two radial bins from the centre of the group: kBT(< 31 kpc) » 0.66 keV and kBT(< 92 kpc) » 0.69 keV with overall metallicity measured only in the inner one, Z = (0.18 ± 0.04) ZQ. 2.8 N G C 1961 This rotation-dominated spiral galaxy is the brightest member of a small group of seven galaxies (Tempel et al., 2016) and it has been classified as a L I N E R galaxy (Carrillo et al., 1999). Measurements of rotational velocity at distances exceeding 10kpc from the galaxy centre (Rubin et al., 1979) have revealed that this spiral galaxy is exceptionally massive, and at the same time, X-ray observations showing a point source located i n the centre of the galaxy confirm a presence of an A G N . The total mass of the galaxy is more than sufficient to retain its hot gaseous halo, which has been observed by both Chandra and XMM-Newton. Bogdan et al. (2013) compared available observations of N G C 1961 with results from numerical simulations finding that the galaxy is dark matter dominated - baryons contribute to the total mass with only 11 %. In radio observations at 6 and 18cm presented in Krips et al. (2007), nuclear emission is accompanied by a ~ 2a signal resembling radio jets. Additionally, distorted H i morphology revealed that the gas is being stripped by the surrounding intragroup medium (Shostak et al., 1982). 2.9 N G C 4649 This elliptical galaxy, also known as M 60, resides in a group within the Virgo Cluster (Mamon, 2008). Traces of motion of the galaxy with respect to the parent cluster are pronounced i n the disturbed shape of its X-ray atmosphere, where ram-pressure stripping and Kelvin-Helmholtz instabilities driven by the interaction of the hot atmosphere of N G C 4649 and the intra-cluster medium were clearly observed (Wood et al., 2017). Another deviation from the spherical symmetry, this time closer to the galaxy centre, is connected to the A G N activity, as radio-jets inflated cavities i n the X-ray gas can be observed in images from Chandra and are presented in e.g. Shurkin et al. (2008); D u n n et al. (2010). This galaxy does not have clearly observable dusty features, which is supported by no F I R emission detections reported by Temi et al. (2003). In A T L A S 3 D Project, this galaxy is also classified as a fast rotator, but close to the slow-/fast-rotator classification threshold. The support i n the X-ray gas atmosphere 2.9 N G C 4649 13 created by its rotation is negligible relative to the gas pressure support. Table 2.1: Basic observational properties of the studied sample. Distance d is adopted from A T L A S 3 D Project and references therein with the exception of N G C 1961, in which case the median value of distances from NED was taken, as well as values for redshift (z) in the second column. The effective radii Re, velocity dispersions and rotational velocities are adopted from Cappellari et al. (2011). object d z scale Rc Vrot N G C Mpc 10"3 arcsec k p c - 1 arcsec k m s - 1 k m s - 1 3607 22.2 3.14 9.29 38.9 222.0 ± 4 . 0 110.0 ± 9 . 0 3665 33.1 6.90 6.23 30.9 215.0 ± 8 . 5 94.3 ± 21.5 4382 17.9 2.43 11.52 66.1 68.3 ± 16.5 176.0 ± 3 . 5 4459 16.1 3.98 12.81 36.3 75.0 ± 20.0 171.8 ± 4 . 8 4526 16.4 2.06 12.58 44.7 150.4 ± 8 . 6 246.0 ± 6.0 5353 35.2 7.75 5.86 20.0 298.0 ± 9.0 284.0 ± 4 . 8 1961 32.4 13.12 6.37 51.0 242.0 ± 12.0 326.8 ± 9 . 5 4649 17.3 3.70 11.92 66.1 330.5 ± 4.6 55.0 ± 22.1 Table 2.2: Observational properties of the composition of the sample galaxies. B-band stellar luminosity LB and B — V colour index are taken from HyperLEDA (Makarov et al., 2014), 1.4GHz radio power from Brown et al. (2011) and Condon et al. (2002), P A H luminosity from Kokusho et al. (2017) and Stierwalt et al. (2014) in the case of N G C 1961, mass of molecular hydrogen Young et al. (2011) and Combes et al. (2009) for NGC 1961, mass of atomic hydrogen from Young et al. (2014) and Haan et al. (2008) for N G C 1961. P A H luminosity has not been constrained for N G C 4649, just as atomic hydrogen content in N G C 4382 and N G C 4526. object LB B-V log P r a d i o £pAH l o g M H 2 l o g M H l S F R N G C 1 O 1 O L B , 0 mag W H z " 1 104 1 e r g s - 1 M 0 M 0 M 0 y r " 1 3607 3.70 0.93 20.63 7.8 ± 6 . 2 8.42 < 6.53 0.420 3665 3.37 0.93 22.04 45.1 ± 9.9 8.91 < 7.05 0.109 4382 5.86 0.89 < 19.79 0.3 ± 5 . 5 < 7.39 - 0.002 4459 1.45 0.97 < 19.63 7.1 ± 2 . 9 8.24 < 6.53 0.071 4526 2.42 0.98 20.61 17.1 ± 4 . 4 8.59 — 0.028 5353 3.56 1.03 21.62 2.3 ± 6 . 7 < 7.44 < 7.07 0.095 1961 22.91 0.86 22.82 37.8 ± 3 . 1 10.39 10.67 9.24 4649 6.19 1.00 20.97 — < 7.44 < 7.19 0.129 C H A P T E R 3 Data analysis 3.1 Observations Instruments which collected the data we use i n our analysis are named collectively as European Photon Imaging Camera ( E P I C ) , each lying i n the focal plane of one of the three X-ray telescopes onboard XMM-Newton X-ray observatory. Each of these detectors covers a field of view 30 arcmin (Jansen et al., 2001) and has a useful quantum efficiency at 0.2 — lOkeV. The E P I C - p n camera consists of an array of 12 C C D chips which operate in parallel. The observations we use were performed in a full frame or extended full frame operating mode, with the active detector area covering the whole field of view. In the full frame mode, each of the C C D subunits has an integration time of 68.7 ms followed by 4.6 ms readout. Extended full frame mode has longer integration time, 199.2 ms, and the same readout time (Striider et al., 2001). Photons detected during the readout period (6.3 % in full frame and 2.3 % in extended full frame mode of the observation time) are assigned to a wrong position and need to be accounted for properly during the data analysis. The angular resolution of XMM-Newton is 15 arcsec half energy w i d t h at 1.5keV and thus much larger than the size of E P I C - p n pixels (4.1 arcsec side). The energy resolution at 1.5 keV is ~ 110 eV (full width at half maximum, F W H M ) and ~ 150eV ( F W H M ) around 6keV (Striider et al., 2001). Remaining two E P I C instruments, E P I C - M O S , are assembled of 7 M O S - t y p e C C D s each, some of which have been lost over time due to micrometeorite hits. Only 44 % of the total flux reaches the detectors as half of the arriving photons are diverted to reflection grating spectrometers. This allows a longer integration time, which is 2.6s and available continuously. One pixel covers only 1.1 x 1.1 arcsec and the energy resolution at 1.5keV is also better than in E P I C - p n , ~ 80eV ( F W H M ) , but at 6keV, the resolution decreases to ~ 150eV ( F W H M ) as well (Turner et al., 2001). Positions of individual C C D s of all E P I C instruments are designed to overlap i n a way that the detector chip gaps are mutually covered, in principle resulting in an image of the whole field of view. For the analysis described below, we used all E P I C observations with any useful exposure time available at XMM-Newton Data Archive. These observations, denoted by an observation ID ( O B S I D ) , are listed i n Table 3.1. In XMM-Newton E P I C observations, each event (i.e. a detection on a C C D chip) is stored with information on energy, detection time and position on the chip. This allows subsequent filtering of 14 3.2 Data reduction 15 Table 3.1: List of used observations for each galaxy and exposure times. In the second column, observation ID is given, for which the total observation time ttot in MOS1, MOS2 and pn detectors is shown in columns 3, 4, and 5, respectively, and the useful exposure time i n e t (not contaminated by soft-proton flaring) is written in the next 3 columns. The sum of the flaring-excluded exposure time in all instruments together is given in the last column. object O B S I D M l itot [ks] M 2 pn M l inet [ks] M 2 pn E *net [ks] N G C 1961 0673170101 31.5 31.5 30.4 21.5 23.5 11.3 0673170301 35.0 35.1 34.0 21.2 21.1 17.5 0723180101 21.8 21.8 20.8 19.8 19.6 15.9 0723180201 21.6 21.5 19.9 11.9 10.6 3.0 0723180301 23.9 23.8 22.7 16.3 18.1 9.3 0723180401 18.6 18.8 20.7 7.1 6.6 3.3 0723180601 25.6 25.5 23.9 9.1 9.8 7.0 0723180701 20.9 20.8 19.2 7.3 7.5 5.5 0723180801 14.7 14.6 19.0 13.6 13.6 9.7 0723180901 23.2 23.1 21.5 13.2 13.7 8.9 376.7 N G C 3607 0099030101 22.3 22.3 20.0 15.6 17.6 10.8 0693300101 44.4 44.4 43.8 31.3 35.3 19.8 130.4 N G C 3665 0052140201 40.6 40.6 36.3 27.8 29.6 20.3 77.6 N G C 4382 0201670101 0651910401 0651910501 0651910601 0651910701 33.5 33.5 41.7 41.6 41.2 41.3 41.2 41.1 36.5 36.5 33.2 18.8 40.6 33.6 40.2 29.9 40.1 27.7 34.9 28.3 18.8 14.4 34.1 25.7 29.6 24.1 28.7 22.1 28.3 24.2 388.3 N G C 4459 0550540101 81.8 81.8 82.8 72.7 73.2 60.6 0550540201 20.4 20.4 18.8 18.8 18.8 15.1 259.1 N G C 4526 0205010201 25.9 25.9 26.0 22.0 21.9 17.7 61.6 N G C 4649 0021540201 51.3 51.3 49.0 49.0 48.2 38.9 0502160101 81.7 81.7 80.5 72.9 72.7 61.0 342.6 N G C 5353 0041180401 22.3 22.3 20.0 21.3 21.1 16.8 59.1 events unrelated to the observation target, which is described below. 3.2 D a t a reduction The data were reduced with standard procedures of XMM-Newton Science Analysis System version 17.0.0. Event lists from raw-data files were obtained using tasks emchain for E P I C - M O S and epchain in the case of EPIC-pn. Prior to filtering of the output datasets, we also created a model of events received at times of relatively long 3.3 Extraction of spectra 16 readout of pn (the so-called out-of-time events). For this step, epchain task was run for a second time with a corresponding option to obtain an observation-specific event list (hereafter OOT-event list), which was, after proper scaling, subtracted from the pn event list. Almost every observation of XMM-Newton is contaminated by events triggered in collisions of highly energetic protons with the detectors. These particles with energies comparable to X-ray photons, focused by XMM-Newton optics and often referred to as soft protons, originate in Solar activity and are trapped in Earth's magnetosphere which is crossed by XMM-Newton during every revolution. In times of the highest soft-proton (SP) flaring, the telescope is not operating to prevent permanent damage to the detectors, but minor flares can be witnessed any time (Jansen et al., 2001). The spectral profile of the S P component varies in time and is thus impossible to be accounted for during the spectral analysis. Fortunately, periods of anomalously high noise due to S P contamination can be defined and excluded from event lists based on a light curve of individual observations. The SP unaffected times (good time intervals, GTI) in our observations were determined based on a count-rate threshold set manually from light curves observed at energies from 10 to 12keV, which is a commonly used approach in this situation. The total and reduced exposure times resulting from the G T I cleaning, £ t o t arid t n e t , respectively, are given in Table 3.1 to illustrate the quality of the data used further on. The event files were then filtered omitting detections nagged as unreliable, following standard processing recommendations1 . W h e n an X-ray photon hits the detector, it creates a geometrical pattern of pixels where any signal was detected. We excluded all events unsatisfying a condition PATTERN<=12 for M O S 1 , M O S 2 which leaves out larger than 'quadruple' patterns, and PATTERN<=4 for pn, resulting in a use of patterns quoted only as 'single' or 'double'. Events excluded by these inequalities cannot be attributed to genuine X - r a y photons and would pollute the observation if used. In addition to these criteria, recommended strings #XMMEA_EM and #XMMEA_EP && (FLAG==0) were used for filtering of E P I C - M O S and E P I C - p n event files, respectively, to apply further corrections. 3.3 E x t r a c t i o n of spectra To study the X-ray emitting gas in every galaxy presented in Chapter 2, we extracted spectra from several concentric annuli, which allowed us to create radial profiles of derived physical properties. O f course, this can be done only with the assumption of spherical symmetry (azimuthal in projection), which will be discussed in the following chapters. Where the number of received photons allowed it, we used the highest reasonable spatial resolution, where the width of each annulus is given by the angular resolution of XMM-Newton. This was unfortunately not the case of a majority of galaxies in our sample, where the span of each annulus was determined by a number of counts in a selection region that led to a reliable spectral analysis. 1 XMM-Newton Users Handbook, Issue 2.16, 2018 (ESA: XMM-Newton SOC, 2018) 3.4 Spectral analysis 17 Typically, X-ray point sources of various origin are projected onto the extended emission of interest. To avoid their undesired contribution to the spectra, we encircled the emission of each point source and excluded the selected events during the spectral extraction procedure. A s none of the X-ray atmospheres of interest covered the entire field of view, it was possible to create a spectrum of local background to be subtracted prior to spectral analysis. This approach to the handling of remaining events unrelated to the examined source is based on the reasonable assumption that the background spectrum is representative of the true background of the studied spectrum. Having the brightest point sources removed by hand, the remaining contamination by distant A G N s does not vary considerably. This also applies to diffuse soft X-ray foreground, which changes at much larger spatial scales compared to the XMM-Newton field of view. Another possible treatment is based on a modelling of all background components and thus requires further assumptions on their spectral properties and, at the same time, the sufficiently high number of received background photons to reliably constrain their parameters. 3.4 Spectral analysis A spectrum of a million-kelvin plasma i n our galaxies is determined primarily by the temperature of the gas, its density and abundances of present elements. For the spectral fitting, we used the S P E c t r a l X-ray and U V modelling and analysis software ( S P E X , Kaastra et al., 1996) version 3.04.00, which uses an extensive atomic database S P E X A C T (version 2.07.00). Apart from the classical Levenberg-Marquardt minimisation of %2 algorithm, S P E X allows fitting using the C-statistic (Cash, 1979), defined for Poissonian distribution of data. This is particularly useful for spectra with a low number of counts i n a large set of bins where the distribution is far from being Gaussian (and would thus require extensive binning which leads to a decrease in energy resolution) and which is also the case of our data. Use of C-statistic is limited to spectra with a positive number of counts per bin, hence they were binned to at least one count per bin. We employed this statistic for the fitting of projected spectra, using a model constructed in the following form. A s the X-ray emitting gas can be described as a dilute plasma i n collisional ionization equilibrium, we used the corresponding model cie in S P E X . A t the energy resolution of E P I C instruments, the gas spectral properties are set mainly by the temperature of the gas, its amount, which translates to a normalisation of the spectrum, and elemental abundances. A s the latter were not possible to constrain properly, we assumed Solar abundances of Lodders et al. (2009) and left free only the overall metallicity of the gas. The fact that the gas temperature is not constant over the volume of the atmosphere was accounted for by parameter sig. W h e n non-zero, this parameter changes the model from single- to multi-temperature with a Gaussian distribution and the root-mean-square width equal to sig. It is obvious that the assumption of temperature distribution is not necessarily realistic, but still it serves as a good approximation and adds only one free parameter to our model. Other 3.4 Spectral analysis 18 Table 3.2: Total hydrogen column densities taken from Kalberla et al. (2005). N G C 1961 3607 3665 4382 4459 4526 4649 5353 i Y H , t o t [ 1 0 2 0 c m - 2 ] 11.7 1.36 2.00 2.54 2.67 1.47 2.04 0.954 commonly used approaches are e.g. two cie components with one temperature being tied to the second and by a factor of two smaller, or a different available component with a given temperature distribution, neither of which would be better physically motivated. Low-mass X-ray binaries ( L M X B s ) present mainly in globular clusters were modelled with one power-law component with spectral index 1.6, in accordance with Irwin et al. (2003). Absorption by cold Galactic gas (at z = 0) was represented by a model hot with the temperature set to 5 x 1 0 - 4 keV and column density of absorbing medium taken from Leiden/Argentine/Bonn Survey (Kalberla et al., 2005, Table 3.2) and fixed. Similarly, we assume the redshift of the source (Table 2.1) to be known precisely and keep it fixed. The spectra were fitted in the energy range of 0.5 — 5.0keV, given that the examined X-ray atmospheres produce most of the X-ray emission up to 2.0 keV, while more energetic photons come mainly from a less steep decrease of the power-law component describing the L M X B s . The lower limit on used energy is set by limitations on proper calibration of incoming photons. From this range, events at 1.38 — 1.60 keV were excluded where contamination from instrumental lines (e.g. Carter and Read, 2007) was present. 3.4.1 Deprojection W i t h the hot gas being optically thin, the observed emission originates in the whole volume of the atmosphere, which inevitably leads to effects related to projection i n the observed spectra. Several possibilities for treatment of the data in such a situation exist, all of which are based on the assumption of spherical symmetry of the extended X-ray source. The method adopted in this work is the so-called Direct X-ray Spectra Deprojection ( D S D E P R O J , Russell et al., 2008). A s the name suggests, spectra extracted from individual annuli are, after scaling by area, subtracted from those lying closer to their common centre. In order to prevent bins with a negative number of counts, the spectra are binned to at least 25 counts per bin. Unfortunately, spectra created with this method cannot be fitted using C-statistic, so %2 minimisation was used instead. In the following chapters, results are given with la error bars and are derived for a flat cold dark matter cosmology with HQ = 7 0 k m s _ 1 M p c - 1 and J7M = 0.3, J7A = 0.7. Hereafter, the gas temperature is presented in units of equivalent energy, k^T. C H A P T E R 4 Results 4.1 H o t gas m o r p h o l o g y As will be discussed in the following section, the hot gas dominates the X-ray emission in the energy range of 0.3 — 2.0keV. In order to examine morphological features and verify our assumptions on spherical symmetry, we created images from the event files including only the events corresponding to these energies. The final products, i.e. background subtracted, exposure corrected and adaptively smoothed images developed using tasks from Snowden and Kuntz (2011), are presented in F i g . 4.1. The signal is displayed i n a logarithmic scale so that the hot atmospheres are visible out to their outskirts while at the same time, bright point sources are removed in the same manner as for the spectral analysis. To determine the flattening of the atmospheres, we used the C I A O (version 4.11, Fruscione et al., 2006) fitting tool Sherpa (Refsdal et al., 2009) to fit each of them with a 2D /3-model (Cavaliere and Fusco-Femiano, 1976, 1978) in a form of „1 -3/3/2 I(r) = I0 1 + r 2 , (4.1) where and 2 _ ( l - e x ) 2 * 2 + ?/2 " r 2 ( l - £ x ) 2 ( 4 - 2 ) x = (x - x0 )cos(9+ (y - yo)sin(9, V = (y - Vo) cos 9 - (x - x0) sin 9, with normalisation IQ, the (3 parameter, the centre of the emission [x,y], orientation determining angle 9, and ellipticity ex left free. Parameters of interest, ex and position angle P A x = 9 + 90° are listed in Table 4.1 along with the ellipticity and position angle of stellar component taken from the literature. It is immediately obvious that the position angles are generally very similar. The measured ellipticity is on average lower i n the X-ray component but does not correlate directly with the ellipticity of the stellar component. We note that some of the observed X-ray photons originated in low-mass X-ray binaries and other stellar sources and we are therefore not probing the hot gas alone. 19 4.1 Hot gas morphology 20 NGC 4649 W Figure 4.1: Images of X-ray atmospheres of SO galaxies in our sample, N G C 1961 and N G C 4649, all extracted in the energy range 0.3 — 2.0 keV. The images are displayed in log-scale in order to visualize the full extent of the hot haloes, while the most prominent point sources are removed. The solid line in the lower-left corner of every image represents a scale of 1 arcmin. 4.1 Hot gas morphology 21 Table 4.1: X-ray ellipticity ex and position angle (PAx) determined from /3-model fitting and their optical counterparts, e+ and PA*, from Krajnovic et al. (2011) and Jarrett et al. (2003) in the case of N G C 1961, for which the uncertainty has not been published. object ex e* P A X [deg] P A * [deg] N G C 3607 0.144 ± 0 . 0 1 1 0.13 ± 0 . 0 8 119.7 ± 2 . 3 124.8 ± 7 . 6 N G C 3665 0.158 ± 0 . 0 0 5 0.22 ± 0 . 0 1 28.2 ± 1.0 30.9 ± 2 . 0 N G C 4382 0.110 ± 0 . 0 0 6 0.25 ± 0 . 0 7 29.8 ± 1.7 12.3 ± 11.0 N G C 4459 0.060 ± 0.016 0.21 ± 0 . 0 3 134.1 ± 7.8 105.3 ± 1.9 N G C 4526 0.218 ± 0.005 0.76 ± 0.05 116.8 ± 0 . 7 113.7 ± 1.2 N G C 5353 0.253 ± 0.004 0.48 ± 0.04 136.6 ± 0 . 6 140.4 ± 4 . 9 N G C 1961 0.161 ± 0 . 0 0 9 0.330 100.8 ± 1.8 92.0 ± 2 . 0 N G C 4649 0.041 ± 0.002 0.16 ± 0 . 0 1 90.7 ± 1.6 91.3 ± 3 . 6 The influence of the surrounding medium on the X-ray emitting gas is clearly visible in several objects. Observable deviation from radial symmetry i n N G C 3607 may indicate ram-pressure stripping due to the motion of the galaxy within the intra-group medium. The Leo II group has bi-modal X-ray brightness distribution (with the second X-ray peak centred on N G C 3608 galaxy) and according to Mulchaey et al. (2003) the group members could be in a process of merging. Ram-pressure stripping is more pronounced in N G C 4459, where an X-ray emitting tail formed and visualises the direction of tangential motion of the galaxy within the Virgo cluster. A n X-ray source on the right from N G C 4459 in F i g . 4.1 has been excluded from the spectral analysis. Based on available images from optical telescopes, it cannot be attributed to a nearby galaxy cluster, where individual galaxies should be clearly observable in optical images. We discuss the possible nature of this source in Chapter 5. In the case of N G C 5353, the position of the centre of the galaxy lies in mutually overlapping chip gaps and bad pixels and therefore there is the black spot in the centre of the X-ray image as no emission could be detected. The point source removed in the upper part of the extended emission can be geometrically attributed to an A G N i n N G C 5354 and the surrounding diffuse emission probably forms its hot atmosphere. On the opposite side from this source, another enhancement in surface brightness was detected, but i n this case, an optical counterpart cannot explain its presence. A s in the previous case, this region has been also excluded from spectral analysis. As was already mentioned in the previous chapter, N G C 4649 is undergoing rampressure stripping and the effects of this process are observable in the outskirts of the detected X-ray emission. In the rest of this chapter, the results are derived from spectra extracted from concentric annular regions and the error bars on radius represent the width of these annuli. 4.2 Thermodynamic properties 22 4.2 T h e r m o d y n a m i c properties Due to the limited energy resolution of E P I C instruments, low-count spectra of diffuse X-ray emitting plasma from galaxies show strong anti-correlation between gas metallicity and normalisation, as models with enhanced metallicity are statistically indistinguishable from models with lower metallicity but increased normalisation (see Fig. 4.2 for an illustration). The resulting degeneracy can be removed or at least reduced by increasing the number of counts. A s no other observations were available, the photon count increase could only be obtained by enlarging the geometric region for the spectrum extraction. This ultimately leads to a combination of photons emitted from the gas of different properties and thus a formation of a multicomponent spectrum of the gas. This, unfortunately, further complicates the situation and does not result in any improvement in metallicity determination. Energy [keV] Figure 4.2: Background subtracted spectrum of X-ray emission from the second radial bin of N G C 5353 from all three instruments. Orange, red, and blue lines are best-fitting models composed of redshifted and absorbed cie and a power law component, where normalisations for the latter two components are allowed to vary, just as the cie temperature. All three provide a good fit to the data. Residuals below the spectrum are black for the metallicity used throughout, Z = 0.5 Z Q , and orange and blue for 0.25 Z Q and 1.0ZQ , respectively. The fit was performed on unbinned data. Due to a larger effective area, the spectrum of pn instrument lies above those of MOS1 and MOS2. For almost all spectra in our analysis suffer from this degeneracy, we fixed the overall metallicity of the gas to 0.5 Z Q , which is a reasonable estimate based on the origin of the gas (stellar mass loss and accretion of intergalactic medium with a low 4.2 Thermodynamic properties 23 Table 4.2: Total X-ray gas luminosity, emission-weighted temperature obtained from global spectra, and mass. Where a single temperature model did not provide a good fit, a multitemperature model was used and the best-fitting value of the additional parameter CTTx is presented. object Lx kBTx 1 0 4 0 e r g s " 1 keV keV 109 M 0 N G C 3607 1.74 n 4 1 1 +0.025u - 4 i i - 0 . 0 0 9 •, ^9+0.07 N G C 3665 2.30 n oi 9+O.OO6 1 nq+0 -0 7 i -u y -0.07 N G C 4382 7.97 n oifi+0.025 U.O±O_0.024 n i 2 + a 0 1 7 u . u i z _ 0 0 1 2 5 2 6 + a l °°-Z D -0.10 N G C 4459 0.31 o i q n + 0 - 0 4 1 - 0 1 2 + a 0 2 u - i z - 0 . 0 2 N G C 4526 0.71 0 260+0 -0 1 3 U . Z D U _ 0 0 1 9 - 0 1 5 + a ° 3 u - i o - 0 . 0 2 N G C 5353 4.21 0-65118^8 N 99^+0.042 u.zzo_0 0 4 6 n 4Q+0 -0 3 u -4 y -0.03 N G C 1961 4.79 0 . 2 9 8 + ^ 0 202+0 -0 8 2 6 01 + ° - 4 9 ° - u i - 0 . 4 6 N G C 4649 68.26 0.8791°;°°} - i u - '°-0.61 level of chemical enrichment) and is commonly used i n such situations. The only exception is N G C 4649, for which the metallicity was reliably determined from the fit of the global spectrum, Z = (0.73 ± 0.04) Z Q , i n accordance with results of Mernier et al. (2017). For the deprojection analysis, the metallicity of this object was set to 0.7 Z 0 and fixed. 4.2.1 Global properties We estimated the total gas mass Mx of the hot atmosphere by summing total particle number density n derived from deprojected spectra in a given spherical shell, i.e. Mx = 47T ^2 r2 p(r)Ar = iirmnH X ! r 2 n ( r ) A r > (4 -4 ) where \x is mean atomic weight, \x = 0.62, and mu is the mass of a hydrogen atom. The particle number density was calculated as n = 1.92 n e , where the electron number density n e was obtained directly from the spectrum normalisation. The summation has been performed out to the last annulus presented i n this work, corresponding to approximately 2 — 6 Re, set by the data quality. The calculated masses are given in Table 4.2. For the density profiles, see Fig. A . 2 in the Appendix. We fitted the entire galaxy X-ray gas emission with a single- or multi-temperature model, depending on the spectrum (see sec. 3.4), to obtain global properties of the hot gas. Best-fitting parameters derived from this fit are listed i n Table 4.2. Gaussian width of the temperature distribution of multi-temperature model is denoted as CTTx and is presented for spectra where this model provided a better fit. 4.2 Thermodynamic properties 24 1.0- 0.8- 0.6 0.4 0.2 JGC 1961 NGC 3607 i NGC 3665 NGC 4382 i r NGC 4459 i r NGC 4526 NGC 4649 — r - 4 NGC 5353 - r - 4 -i r - 0 2 r [Reff] Figure 4.3: Radial, azimuthally averaged profiles of deprojected temperature with metallicity fixed at 0.5 Z Q except for N G C 4649 for which the metallicity is 0 . 7 Z 0 . For clarity, dark blue points represent SO galaxies in our sample, while the spiral galaxy N G C 1961 and the elliptical N G C 4649 are plotted in light blue. 4.2.2 Temperature The best-fitting temperature obtained directly from both projected and deprojected spectra of every annulus is presented i n F i g . 4.3 as a function of effective radius, and thus scaled by the radial extent of the stellar component. Temperature profiles i n physical units derived only from deprojected spectra, which we used for the analysis further on, can be found i n the Appendix, Fig. A . l . The spiral and elliptical galaxy are plotted i n a lighter shade of blue to be easily distinguishable from lenticulars. The most striking feature of the mosaic is that the mean temperature of SO galaxies is smaller than that of the only elliptical (and more massive) galaxy N G C 4649. Overall, the profiles of SO galaxies do not show any significant trends and within 3a uncertainties are close to being isothermal. 4.2 Thermodynamic properties 25 10" 10 -11 . 10" 10" S IO-1 1 O l a 1 0 _ i 2 10" 10" 10" NGC 1961 NGC 4382 NGC 4649 ™ i — 10 NGC 3607 NGC 4459 + NGC 5353 1 10 r [kpc] NGC 3665 NGC 4526 10 Figure 4.4: Pressure profiles derived from deprojected spectra. Point colour is chosen as in Fig. 4.3 and is kept in remaining figures of this kind further on. 4.2.3 Pressure The gas pressure as a function of the radius was calculated assuming ideal gas, i.e. p = nkBT. (4.5) These profiles are shown separately in F i g . 4.4, using the same colour-coding as for the temperature above. In all objects, the pressure is monotonically radially decreasing, which is expected for gravitationally stratified atmospheres. T h e main difference in profiles of rotating galaxies i n our sample (SOs and N G C 1961) and the massive elliptical is the vertical shift within the plot, or i n other words, the pressure is almost an order of magnitude higher i n N G C 4649 with respect to the remaining seven objects. W h e n compared to a larger number of elliptical galaxies, namely 49 ellipticals (including N G C 4649) studied by Lakhchaura et al. (2018), the division remains clearly visible, as can be seen i n F i g . 4.5. Their profiles are distinguished by a presence and 4.2 Thermodynamic properties 26 10 -9 _ 10 -10 _ E u at ai 1 0 " 1 1 10 -12 - i — I — I — r - p -i—I—I—r-| 1 1 1 1—I—I—I—r-p Cool Gas Free Nuclear Cool Gas Extended Cool Gas NGC 1961 NGC 3607 NGC 3665 NGC 4382 NGC 4459 NGC 4526 NGC 4649 NGC 5353 _l I I I I l_ 10 100 r[kpc] Figure 4.5: Pressure profiles of all eight galaxies (lines) and median profiles of ellipticals (Lakhchaura et al., 2018) distinguished by cool gas content. The shaded regions represent a median absolute deviation spread. morphology of 'cool' (relative to X-ray) gas, more specifically of H a + [ N n ] emission. The solid red, dot-dashed green, and dashed blue lines stand for median entropy profiles of galaxies undetected i n H a + f N n ] , with nuclear emission and having cool gas with filamentary structure, respectively. The surrounding shaded regions represent median absolute deviation ( M A D ) . Regardless of the cool gas content in their sample (further discussed i n the text below), the pressure in SOs is lower at all radii. One of the reasons for this difference lies in the total mass of these galaxies. Ellipticals are known to be generally more massive than lenticular galaxies and the difference in gravitational potential should also reflect i n the gas pressure. Rotation can further lower the effective potential, allowing the gas to remain more dilute. To limit the effect of different total mass, the radial distances need to be plotted in properly scaled units. The determination of the total enclosed mass M ( < r) within some radius r is computable from the thermodynamic properties of the gas, i.e. dp GM{< r)p -r- = 2 ' (4 -6 ) dr r z assuming spherically symmetric atmosphere in hydrostatic equilibrium and a negligible effect of non-thermal pressure. This, after a reorganisation and a substitution for the 4.2 Thermodynamic properties 27 gas density, p = mnpn, yields M( displayed in the scale radius which was obtained by a method independent of dynamical properties of the galaxies. The dashed grey line stands for a median profile of elliptical galaxies studied in Lakhchaura et al. (2018) and the surrounding grey region defines the median absolute deviation spread. The rotational velocity of the galaxy is represented by the line colour. 4.2 Thermodynamic properties 29 100 100 N E 100 NGC 1961 1— NGC 3607 NGC 3665 1 1 1 1 1 1 1 1 1 1 1 1 NGC 4382 NGC 4459 +"+• - • - NGC 4526 — • — i i 1 1 1 1 i i ' • • F • 111 | i i l l • • • ••••• NGC 4649 NGC 5353 1 10 1 ' — I ' — I I I I 1 1 ' — I 1 10 1 10 r [kpc] Figure 4.7: Entropy profiles (see equation 4.12) derived from deprojected spectra. 4.2.4 Entropy Another physical quantity which describes the thermodynamic state of a hot atmosphere is entropy. Its broadly adopted definition i n this context comes from the equation describing the adiabatic process i n a monoatomic ideal gas, pV5 ^3 = const. Rewriting this relation in terms of temperature and electron density, the constant is proportional to K, our measure of entropy, where K = kBTn-2/3 . (4.12) This definition relates to the thermodynamic entropy S as AS = 3/21n.KT. Gravitationally stratified atmosphere i n hydrostatic equilibrium should have the radial entropy profile monotonically outwardly rising, while flat or decreasing trend signifies convectively unstable environment. This results from the Schwarzschild stability criterion, 4.2 Thermodynamic properties 30 VK • Vp < 0, where the gas pressure p is radially decreasing due to gravitational stratification (see the previous section). A detailed derivation of this condition can be found i n e.g. Pringle and K i n g (2007). The entropy of all analysed galaxies is separately plotted i n F i g . 4.7 and shows a visible difference i n the slope of N G C 4649 when compared to our SOs. For a more robust comparison with elliptical galaxies, the entropy profiles of SOs are plotted in F i g . 4.8, together w i t h results obtained for the sample of 49 elliptical galaxies presented b y Lakhchaura et al. (2018) again. The extent of H a emitting gas has been searched for and observed only i n two galaxies i n our sample, N G C 4459 and N G C 4526. A direct comparison for the remaining four objects is thus possible only with the (reasonable) assumption that the colder phases are accompanied by ionized gas w i t h similar morphology. Another system with observed H a and rotating [C n] discs, a n d thus having the presumed properties, a lenticular galaxy N G C 7049, is bridging together with N G C 4459 and N G C 4526 the two samples. Its profile, instead of following the extended cool gas region of ellipticals, lies above it, similarly to our SOs. Furthermore, the mean central entropy of the lenticulars lies above that observed in elliptical galaxies. t 1 1 1—I—I—I—r-| 1 1 1 1—I—I—I—rJ 1 1 1 1—I—I—I—I p - Extended Cool Gas 1 10 100 r[kpc] Figure 4.8: Entropy profiles of SO galaxies in this study (solid lines), N G C 7049, an SO from previous work (Jurahova et al., 2019, black dotted line) and a sample elliptical galaxies distinguished by the extent of cool gas of Lakhchaura et al. (2018). For the ellipticals, lines signify median profiles and surrounding shaded regions the median absolute deviations. 4.2 Thermodynamic properties 31 Purely gravitational heating would result i n a profile given by K oc r 1 1 , which is usually not observed due to the contribution of AGN-related heating and SNe. These processes centrally increase the gas entropy, flattening the whole profile i n isolated galaxies or central regions of galaxy clusters to K oc r a 6 7 (Panagoulia et al., 2014; Babyk et al., 2018b). To quantify the amount of flattening i n rotating atmospheres, we fitted the entropy profiles of all SO galaxies in our sample with a power-law model, together with a fast-rotator N G C 1961 and including also SO galaxies N G C 4477 (Li et al., 2018) and N G C 7049 (Jurahova et al., 2019), and an E 2 galaxy N G C 6868 (Werner et al., 2014; Lakhchaura et al., 2018), all having rotating discs of warm/cold gas indicative of rotational support. The resulting profile yields a power-law index r = 0.46 ± 0.05 and the corresponding best fitting curve is plotted together with all used data in F i g . 4.9. - i 1 1 1—i—r l 1 1—i—rr0.46 ± 0.05 10 + this study -f- NGC 4477 4" NGC 6868 + NGC 7049 r[kpc] Figure 4.9: Entropy profiles of rotationally supported galaxies in this study together with profiles of N G C 4477 (Li et al., 2018), N G C 7049 (Juraiiova et al., 2019), and N G C 6868 (Werner et al., 2014; Lakhchaura et al., 2018). The black line represents a best-fitting power law model determined from a fit of all plotted data points. 4.3 Thermal stability 32 4.3 T h e r m a l stability Higher central entropy suggests recent heating of the atmospheres. A G N activity has been confirmed i n N G C 3665 (see section 2.3) a n d Chandra observations show a n X-ray point source emission i n the centre of N G C 3607, N G C 3665, N G C 4459, and N G C 4526. Therefore, to address the thermal stability of the gas, we computed cooling time profiles using the definition (1.1), which are shown in F i g . A . 4 in the Appendix. In addition to cooling time alone, profiles of cooling time to free-fall time ratio were derived from the observed thermodynamic properties. The free-fall time (1.2) was computed using gravitational acceleration 1 dp p dr 1 dp (4.13) nmn/j, d r ' and thus under the assumption of hydrostatic equilibrium. The resulting values are presented i n F i g . 4.10 for all eight studied objects and separately in the Appendix, Fig. A . 3 . The tcoo\/ts « 10 boundary is visualised through the dashed grey line and is exceeded at all radii, in consistency with observations of other early-type galaxies and galaxy clusters (Voit et ah, 2018). We note that the tcoo\/ts ratio is fundamentally independent of radius and thus no common trend is expected nor observable in Fig. 4.10. Computation of the C-ratio (1.3) requires knowledge of the velocity dispersion o~v,L at the distance where the turbulence is injected, or the injection scale length, L. According to Gaspari et al. (2018), this distance can be estimated as a diameter of 100 - 10 -I 1—I—I—I—\ NGC 4382 _j I I I I I I I I I I 10 r[kpc] Figure 4.10: Ratio of cooling time and free-fall time of all studied galaxies. The threshold of tcooi/tfi ~ 10 (see section 1.3) is visualised as a dashed grey line. 4.3 Thermal stability 33 the cold/warm phase, and the corresponding UVJL can be obtained by extrapolating from measured av of the cold gas. For galaxies i n our sample, these measurements have not been published to date. Nevertheless, to have at least an estimate of this condensation parameter, we adopt the value of velocity dispersion measured i n N G C 7049, aVtL = 3610ns-1 , and use it for our calculations. T h e results computed for SO galaxies with discs of cold gas are plotted in F i g . 4.11 and show that conditions in these hot haloes are i n favour of condensation from the hot phase. I NGC 3607 • NGC 3665 NGC 4459 NGC 4526 NGC 5353 -1 1 1 1 1 1 1 1—|— 5 - 2 - 0.5 - 10 r [kpc] Figure 4.11: C-ratio (see equation 1.3) of SO galaxies possessing cold gas. Grey region represents the la confidence region (from hydrodynamical simulations; Gaspari et al., 2018) signifying conditions for development of multiphase condensation. C H A P T E R 5 Discussion 5.1 H o t gas m o r p h o l o g y a n d mass Projected flattening of the hot atmospheres has been found to be similar to or smaller than that of stellar component in all studied objects, in accord with hydrodynamical simulations of Negri et al. (2014). It needs to be emphasized that the ellipticity has been measured on X-ray images (background and point sources subtracted), with contamination of remaining X-ray emission from unresolved L M X B s , which could further amplify the observed flattening. However, given that the X-ray emission at 0.3 — 2.0 keV is dominated by the hot gas, the ellipticity is primarily given by the diffuse gas. Remarkably, the principal axes of the ellipsoidal isophotes fitted to X-ray and optical emission are aligned within the measured uncertainties. This finding, together with the non-zero ellipticity, is consistent with ordered rotation of the X-ray atmospheres in a generally rounder total gravitational potential. The assumption of spherical symmetry is therefore not formally accurate. However, the intrinsic scatter given by the quality of data limited by the number of obtained counts and also the spatial resolution of XMM-Newton reduces the effects of this simplification. Furthermore, it is important to keep i n m i n d that the ellipticity of the X-ray atmospheres is low and that the logarithmic scale i n F i g . 4.1 emphasizes features beyond azimuthal symmetry. Overall, the assumption of spherical symmetry is not expected to affect our results significantly. The amount of observed hot gas i n SO galaxies, which has been derived from deprojected densities out to 2 — 6 Re, varies from 108 to 5 x 1 O 9 M 0 . The largest amount has been found in N G C 4382 and is comparable to hot gas content in N G C 1961, while the hot gas mass of the massive slow-rotating elliptical is about two times larger. Negri et al. (2014) showed that rotationally supported galaxies of the same mass have, besides lower X-ray luminosity and emission-weighted temperatures, also a lower amount of hot gas. Here, a comparison based on the same approach is not possible, as within this small sample the galaxies vary both in rotation and the total galaxy mass and could have also been affected by the surrounding environment. 5.1.1 Diffuse emission near N G C 4459 A source of diffuse X-ray emission near the hot atmosphere of N G C 4459 is shown in the left panel of Fig. 5.1. The projected direction of motion of N G C 4459 within the Virgo 34 5.1 Hot gas morphology and mass 35 I I I i 1 1 0 0.9 4.3 18 72 290 Figure 5.1: Left: Background subtracted, exposure corrected and adaptively smoothed X-ray image centred on diffuse emission near N G C 4459 and extracted from energy range 0.3 —2.0keV, at which most of the emission can be observed. The colour bar, showing the number of received counts, allows a qualitative comparison of flux from N G C 4459 and the diffuse source. Right: geometrically corresponding region of the sky observed in SDSS (data release 9). No nearby counterpart is observable, but the faint red galaxies could signify a distant cluster. cluster, as traced by ram-pressure stripped gas (see Fig. 4.1), and the direction from the galaxy to the diffuse source form an angle of ~ 65°. This extended emission shows an enhancement in brightness towards its centre (at approximately a = 12h 2 8 m 51s , 5 = +13° 59' 36"). The total number of observed net counts from all instruments and both observations is 8 972 with an energy flux / ~ 2.5 x 1 0 - 9 e r g s - 1 m - 2 . However, no lines are visible i n the spectrum, which complicates a determination of the redshift. No counterpart has been observed in U V (Galex), near-infrared (2MASS observations in J , H, K bands), mid-infrared (Spitzer), far-infrared (Herschel P A C S at 70 urn and 160 pun), or sub-millimetre wavelengths {Herschel S P I R E at 250 pm, 350 pm, and 500 pm). In the right panel of Fig. 5.1, an optical image from SDSS covering the same area as the X-ray image reveals a number of distant red galaxies. To test whether the X-ray emission could belong to a galaxy cluster with galaxies observable by SDSS, we calculated luminosity for a maximum redshift at which galaxies have been detected, z ~ 0.7 (Brescia et ah, 2014). The resulting X-ray luminosity Lx ~ 1 x 1 0 4 4 e r g s _ 1 is common among galaxy clusters (see e.g. Pratt et ah, 2009).1 1 Shortly before handing in the thesis, we found out that this source has been classified in the XCLASS catalogue as a galaxy cluster based on follow-up observations in optical and infrared bands and has photometrically determined redshift of z = 0.5 (Ridl et al., 2017). This object has been assigned a catalogue number 2260 and is listed in an internal database. 5.2 Thermodynamic properties 36 5.2 T h e r m o d y n a m i c properties The thermodynamic properties derived from the X-ray spectra are dependent on the validity of our assumption on the chemical composition of the plasma. In fact, the projected spectra available for our analysis allowed us to constrain the metallicity in several cases, and we present the obtained best-fitting values i n F i g . A . 5 . Where measured, some of the profiles show significant variations as a function of radius. In principle, these features can indeed be present i n hot atmospheres. A decrease in abundances of heavy elements towards the outskirts of these atmospheres would be caused by a presence of gas previously unenriched i n stellar evolution, supplied from the intergalactic medium. A t the same time, a central decrease of the overall metallicity could be explained by deposition of heavy elements (excluding noble gases) into dust grains, as has been recently observationally confirmed by Lakhchaura et al. (2019). A reliable metallicity determination is, however, problematic. Analysing Chandra observations, Babyk et al. (2018a) measured the overall metallicity of a hot atmosphere in N G C 5353 to be Z = (0.17 ± 0.03) ZQ, three times lower than i n each radial bin presented in this work. Albeit unusually low (e.g. Mernier et al., 2017), their result is in accordance with findings of Finoguenov et al. (2007) who studied the hot medium of the whole H C G 68 group. We remind, however, that this outcome is expectable for an analysis of multi-temperature spectra fitted with a single-temperature model, as has been thoroughly discussed by Buote (2000). The conservative approach adopted here, i.e. leaving the metallicity fixed and constant for all radial bins, is therefore usually performed in the spectral analysis. We note that a bias in the overall metallicity would affect the derived physical quantities as follows. A factor of two difference i n the measured and actual metallicity would result in 25% bias in the density and pressure, and 17% in the gas entropy. Slopes of radial profiles would be altered by less than 10 % in a presence of metallicity gradients (Werner et al., 2012). A s the only spiral galaxy i n our sample is currently star-forming, unresolved high-mass X-ray binaries and, to a lesser extent, other stellar sources associated with young stellar populations are also expected to pollute the observed X-ray emission. Similarly to L M X B s , the composite spectrum of these stellar sources also forms a power law, but likely with a different index. However, the results of our analysis are remarkably similar to those presented by Anderson et al. (2016), who also studied the hot atmosphere of N G C 1961 but allowed the power-law index to vary during the fitting procedure to account for all stellar X-ray sources. Therefore, we do not expect our simplification to have a significant effect on the derived physical quantities. 5.2.1 Temperature Radial azimuthally averaged profiles reveal that the hot gas temperature is systemically lower in the SO galaxies than in the massive elliptical N G C 4649. This is an expected outcome, as the virial temperature of less massive SO galaxies is lower and the ordered stellar motion i n rotating systems leads to less effective heating (in terms of the 5.2 Thermodynamic properties 37 resulting temperature) of the gas ejected i n stellar mass loss. Outwardly decreasing temperature in N G C 1961 suggests central heating, which can be provided by an A G N or a higher S N rate, connected to relatively high star formation of ~ 10 M Q y r _ 1 . A negative temperature gradient is observable also i n N G C 4382. Provided that this object does indeed not harbour an A G N (see section 2.4), the source of heating should also be connected to the stellar population, possibly enhanced by a merger event. The energy input via type l a SNe can be estimated from their expected rate, which for a galaxy of this stellar mass ( M * = 4 x 101 1 M 0 ; Gallo et ah, 2010) and S F R (see Table 2.2) corresponds to approximately 0.02 y r _ 1 using a relation from Sullivan et ah (2006), or 0.01 y r _ 1 , when derived from the S-band luminosity (Pellegrini, 2012). W i t h kinetic energy of one explosion, i?sNia ~ 1 0 5 1 erg (e.g. Rosswog and Briiggen, 2007), this rate corresponds to a time-averaged energy injection of 6 x 1 0 4 1 e r g s _ 1 or 3 x 10 e r g s - 1 , respectively. Such heating would be sufficient to compensate for the energy losses of the hot gas if the efficiency of S N heating was at least ~ 12 % or ~ 27%, respectively. A n additional contribution of the merger event that led to the creation of shells is expected to be of lesser importance. According to cosmological numerical simulations analysed by Pop et ah (2018), the initial interaction with the progenitor occurred 4 — 8 Gyr ago and most of the stars were stripped from it ~ 2 Gyr ago, while the central cooling time measured in N G C 4382 is t c o o i « 0.5 G y r . A higher overall temperature of N G C 5353 could be attributed to the fact that this galaxy is the brightest member of a compact group and to other processes within it (Sun, 2012). 5.2.2 Pressure Fig. 4.6 shows that the systemically lower pressure cannot be explained solely by different total galaxy masses. Even after scaling by r2oo> the order of magnitude gap between profiles of lenticulars and ellipticals is still present at all radii. In F i g . 5.2, other general properties are visualised for all studied galaxies: B — V colour index (Table 2.2), the ratio of stellar rotational velocity and velocity dispersion (Table 2.1) and X-ray luminosity and gas mass (Table 4.2). B — V colouring reveals that the pressure is independent of redness of these galaxies, and thus the composition of stellar populations cannot explain the additional pressure support. Using different colour indexes, we obtained qualitatively similar results. A t the same time, the absence of any residual dependence on the rotational velocity (Fig. 4.6) and the ratio of rotational velocity and velocity dispersion (Fig. 5.2) suggests that this shift cannot be attributed to rotational support alone. For E T G s , Pellegrini (2012) claimed that objects with L B < 3 x 101 0 L B , 0 should be prone to have atmospheres in an outflowing state (see section 1.5). This applies to all SO galaxies in our sample, perhaps except for a more luminous N G C 4382. The lowered pressure would then be a direct manifestation of an expanding atmosphere. Similarly, this would reflect on the trend in X-ray luminosity and hot halo mass, presented in the bottom panels of Fig. 5.2, but it is necessary to keep in mind that other environmental effects can play a significant role in affecting the hot gas content. It is also important to note that we plot the halo mass measured within a radius determined by the data 5.2 Thermodynamic properties 38 quality, which thus does not directly follow the physical properties of the galaxies. However, using values obtained from integration out to e.g. 5Re of extrapolated densities, the trend remains visible and is not significantly altered. The computed values for r2oo,x require some commentary as well. The r2oo,x i n N G C 4459 is larger than r2oo,GC> while the rotational support or turbulence, which act against gravity, should result in the opposite outcome. Additionally, other non-thermal pressure sources, such as magnetic fields or cosmic rays can lead to lower values of ^200,x, if present (see eg. Humphrey et ah, 2013). A combination of additional pressure support reflects in results of other SO galaxies in our sample. A plausible explanation for the large r2oo,x in N G C 4459 lies in interactions with the surrounding environment. The apparent increase in galaxy total mass results from a steeper decrease of pressure and, at the same time, lower density. F l y i n g through the Virgo cluster, N G C 4459 undergoes ram-pressure stripping and the more loosely bound gas is being removed from the atmosphere. This interaction can lead to both mentioned effects. Similarly, the computed r2oo,x of N G C 5353 is likely affected by the intragroup environment. 0.01 0.05 0.01 0.05 r [r 20o] '"['200] Figure 5.2: Pressure profiles in scale radius. The line colour is given by B — V colour index (upper left), the ratio of rotational velocity and velocity dispersion (upper right), hot gas X-ray luminosity (lower left) and its mass (lower right). The scaled profiles with r2oo,x, determined from X-ray observations, are shown as dashed lines, while those with known r2oo,GC are drawn with solid lines. The error bars are omitted for clarity. 5.3 Thermal stability 39 5.2.3 Entropy Central entropy in most of the studied SO galaxies lies above that of elliptical galaxies, indicating that a centrally positioned heating mechanism should be present i n these objects. Low star formation rate suggests that energy injection via winds of young stars and core-collapse supernovae is most likely incapable of providing sufficient heating. A plausible source of energy input would be connected to central A G N or type l a SNe, presumably with an exception of N G C 4382, where the heating should have origin in processes excluding the central A G N , as discussed above. However, the hot atmosphere of this galaxy has a remarkably flat entropy profile which suggests that the halo is centrally overheated and convectively unstable in general. The combined entropy profiles of rotating galaxies i n our sample and three other objects with rotating discs of cold gas has been found to be flatter than what has been observed in cores of galaxy clusters and other elliptical galaxies. The power-law index measured here, F = 0.46 ± 0 . 0 5 , differs from the result of Babyk et al. (2018b) published for a sample of 6 galaxies consisting of spirals and lenticulars, F = 0.74 ± 0.06. Their sample overlaps with our i n two objects, namely N G C 4382 and N G C 5353, finding quantitatively similar profiles for the two. Their findings are based on data obtained by Chandra, performing a slightly different analysis using models provided within X S P E C spectral fitting package, but employing D S D E P R O J method for deprojection as well. Overall, the flattening i n entropy profiles suggests relatively stronger heating i n the rotationally supported atmospheres, possibly reflected in our findings concerning the systemically lower pressure in these systems. 5.3 T h e r m a l stability Central cooling times do not exceed ~ 0.5 G y r and remain as low as ~ 1 G y r out to lOkpc, confirming that feedback is necessary to retain these hot atmospheres. The value of cooling time at 10 kpc for objects with observed cold gas phases is consistent with findings of Babyk et al. (2018c). This result, along with direct traces of A G N activity in several objects in our sample, raises the question of thermal stability of the gas. The ratio of cooling time to free-fall time does not fall below ten at any radius, similarly to isolated ellipticals or brightest cluster galaxies (see e.g. Voit et al., 2018). In addition to the recent findings suggesting that the tC ooiAff ~ 10 represents rather a limit than a threshold for cooling, there are other reasons for not ruling out the possibility that the hot gas undergoes cooling via thermal instabilities: The free-fall time has been calculated under the assumption of hydrostatic equilibrium and, more importantly, the rotationally supported cooling clumps of gas would not be subjected to a free fall in the radial direction, owing to angular momentum conservation. The calculation of C-ratio shows that the turbulence should be capable of generating density fluctuations prone to cooling. This outcome, yet consistent with the observed warm and cold phase discs, is dependent on our assumption of present velocity dispersion as the te ddy scales with