Horizons that gyre and gimble: a differential characterization
of null hypersurfaces

J 2024

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

BLITZ, Samuel Harris a David MCNUTT

Základní údaje

Originální název

Horizons that gyre and gimble: a differential characterization of null hypersurfaces

Autoři

BLITZ, Samuel Harris (840 Spojené státy, domácí) a David MCNUTT

Vydání

European Physical Journal C, New York, Springer, 2024, 1434-6044

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL URL

Impakt faktor

Impact factor: 4.400 v roce 2022

Organizační jednotka

Přírodovědecká fakulta

DOI

http://dx.doi.org/10.1140/epjc/s10052-024-12919-y

UT WoS

001239390500012

Klíčová slova anglicky

General Relativity and Quantum Cosmology; Differential Geometry

Štítky

rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 7. 8. 2024 10:59, Mgr. Marie Šípková, DiS.

Anotace

V originále

Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a null hypersurface in a Lorentzian manifold can be treated as a Carrollian geometry. Additional structure can be added to this geometry by choosing a connection which yields a Carrollian manifold. In the literature various authors have introduced Koszul connections to study the study the physics on these hypersurfaces. In this paper we examine the various Carrollian geometries and their relationship to null hypersurface embeddings. We specify the geometric data required to construct a rigid Carrollian geometry, and we argue that a connection with torsion is the most natural object to study Carrollian manifolds. We then use this connection to develop a hypersurface calculus suitable for a study of intrinsic and extrinsic differential invariants on embedded null hypersurfaces; motivating examples are given, including geometric invariants preserved under conformal transformations.

Návaznosti

EH22_010/0007541, projekt VaV

Název: MSCAfellow6_MUNI

GA22-00091S, projekt VaV

Název: Geometrické struktury, invariance a diferenciální rovnice se vztahem k matematické fyzice (Akronym: GSIDRVMF)

Investor: Grantová agentura ČR, Geometrické struktury, invariance a diferenciální rovnice se vztahem k matematické fyzice

Citovat

BLITZ, Samuel Harris a David MCNUTT. Horizons that gyre and gimble: a differential characterization of null hypersurfaces. European Physical Journal C. New York: Springer, 2024, roč. 84, č. 6, s. 1-18. ISSN 1434-6044. Dostupné z: https://dx.doi.org/10.1140/epjc/s10052-024-12919-y.

@article{2421887,
   author = {Blitz, Samuel Harris and Mcnutt, David},
   article_location = {New York},
   article_number = {6},
   doi = {http://dx.doi.org/10.1140/epjc/s10052-024-12919-y},
   keywords = {General Relativity and Quantum Cosmology; Differential Geometry},
   language = {eng},
   issn = {1434-6044},
   journal = {European Physical Journal C},
   title = {Horizons that gyre and gimble: a differential characterization of null hypersurfaces},
   url = {https://link.springer.com/article/10.1140/epjc/s10052-024-12919-y},
   volume = {84},
   year = {2024}
}

TY  - JOUR
ID  - 2421887
AU  - Blitz, Samuel Harris - Mcnutt, David
PY  - 2024
TI  - Horizons that gyre and gimble: a differential characterization of null hypersurfaces
JF  - European Physical Journal C
VL  - 84
IS  - 6
SP  - 1-18
EP  - 1-18
PB  - Springer
SN  - 14346044
KW  - General Relativity and Quantum Cosmology
KW  - Differential Geometry
UR  - https://link.springer.com/article/10.1140/epjc/s10052-024-12919-y
N2  - Motivated by the thermodynamics of black hole solutions conformal to stationary solutions, we study the geometric invariant theory of null hypersurfaces. It is well-known that a null hypersurface in a Lorentzian manifold can be treated as a Carrollian geometry. Additional structure can be added to this geometry by choosing a connection which yields a Carrollian manifold. In the literature various authors have introduced Koszul connections to study the study the physics on these hypersurfaces. In this paper we examine the various Carrollian geometries and their relationship to null hypersurface embeddings. We specify the geometric data required to construct a rigid Carrollian geometry, and we argue that a connection with torsion is the most natural object to study Carrollian manifolds. We then use this connection to develop a hypersurface calculus suitable for a study of intrinsic and extrinsic differential invariants on embedded null hypersurfaces; motivating examples are given, including geometric invariants preserved under conformal transformations.
ER  -

BLITZ, Samuel Harris a David MCNUTT. Horizons that gyre and gimble: a differential characterization of null hypersurfaces. \textit{European Physical Journal C}. New York: Springer, 2024, roč.~84, č.~6, s.~1-18. ISSN~1434-6044. Dostupné z: https://dx.doi.org/10.1140/epjc/s10052-024-12919-y.

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