JANYŠKA, Josef. Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle. International Journal of Geometrical Methods in Modern Physics. World Scientific, 2015, vol. 12, No 8, p. "nestrankovano", 7 pp. ISSN 0219-8878. Available from: https://dx.doi.org/10.1142/S0219887815600208.
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Basic information
Original name Remarks on infinitesimal symmetries of geometrical structures of the classical phase space of general relativistic test particle
Name in Czech Poznámky o infinitesimálních symetriích geometrických struktur klasického fázového prostoru obecně relativistické částice
Authors JANYŠKA, Josef (203 Czech Republic, guarantor, belonging to the institution).
Edition International Journal of Geometrical Methods in Modern Physics, World Scientific, 2015, 0219-8878.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Singapore
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.769
RIV identification code RIV/00216224:14310/15:00080884
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1142/S0219887815600208
UT WoS 000361892500014
Keywords (in Czech) Prostoročas; fázový prostor; skoro-kosymplektická-kontaktní struktura; infinitesimální symetrie
Keywords in English Spacetime; phase space; almost-cosymplectic-contact structure; infinitesimal symmetry
Tags AKR, Infinitesimal symmetry, rivok
Tags International impact, Reviewed
Changed by Changed by: prof. RNDr. Josef Janyška, DSc., učo 1384. Changed: 13/3/2018 11:07.
Abstract
The phase space of general relativistic test particle is defined as the 1-jet space of motions. A Lorentzian metric and an electromagnetic field define the joined almost-cosymplectic-contact structure on the odd-dimensional phase space. In this paper, we study infinitesimal symmetries (ISs) of this phase structure. We prove that there are no hidden ISs.
Abstract (in Czech)
Klasický fázový prostor obecně relativistické testované částice je definován jako první jetový prostor pohybů. Lorentzova metrika a elektromagnetické pole definují skoro-kosymplektickou-kontaktní strukturu na licho-dimenzionálním fázovém prostoru. V článku jsou studovány infinitesimální symetrie této struktury. Je dokázáno, že neexistují žádné skryté infinitesimální symetrie.
Links
GA14-02476S, research and development projectName: Variace, geometrie a fyzika
Investor: Czech Science Foundation
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