SYMMETRY GROUP OF THE LIOUVILLE EQUATION IN A MAXIMALLY SYMMETRICAL SPACETIME

Authors
DEHGHANI MH
Citation
Mh. Dehghani, SYMMETRY GROUP OF THE LIOUVILLE EQUATION IN A MAXIMALLY SYMMETRICAL SPACETIME, Classical and quantum gravity, 14(5), 1997, pp. 1207-1213
Citations number
17
Categorie Soggetti
Physics
Journal title
Classical and quantum gravity → ACNP
ISSN journal
02649381
Volume
14
Issue
5
Year of publication
1997
Pages
1207 - 1213
Database
ISI
SICI code
0264-9381(1997)14:5<1207:SGOTLE>2.0.ZU;2-7
Abstract
A spacetime may have more symmetries than the geometrical symmetries o f the metric. These new symmetries lead to the non-geometrical or dyna mical constants of the motion. For an arbitrary spacetime, a systemati c method of exploring the symmetry group of the Liouville equation in a given spacetime is introduced. The method is applied to the case of maximally symmetric spacetime. The symmetry group is found to be SO(4, 1) x SO(4, 1). The non-geometrical constants of the motion are also g iven.