SYMMETRIES OF GENERAL-RELATIVISTIC LIOUVILLES EQUATION FOR DE SITTERSSPACETIME

Authors
DEHGHANI MH REZANIA V
Citation
Mh. Dehghani et V. Rezania, SYMMETRIES OF GENERAL-RELATIVISTIC LIOUVILLES EQUATION FOR DE SITTERSSPACETIME, Astronomy and astrophysics, 305(2), 1996, pp. 379-382
Citations number
14
Categorie Soggetti
Astronomy & Astrophysics
Journal title
Astronomy and astrophysics → ACNP
ISSN journal
00046361
Volume
305
Issue
2
Year of publication
1996
Pages
379 - 382
Database
ISI
SICI code
0004-6361(1996)305:2<379:SOGLEF>2.0.ZU;2-9
Abstract
A systematic study of the symmetries of general relativistic Liouville 's equation in an arbitrary spacetime is presented. The method is appl ied to the case of de Sitter's spacetime. The symmetry group of the la tter turns out to be SO(4, 1) X SO(4, 1). The geometrical (Killing vec tor constant of motion) and non-geometrical constants of motion are ob tained. Finally, a method to introduce the distribution function which inherit some or all of the symmetries of spacetimes is given.