ON THE THERMODYNAMICAL INTERPRETATION OF PERFECT FLUID SOLUTIONS OF THE EINSTEIN EQUATIONS WITH NO SYMMETRY

Authors
KRASINSKI A QUEVEDO H SUSSMAN RA
Citation
A. Krasinski et al., ON THE THERMODYNAMICAL INTERPRETATION OF PERFECT FLUID SOLUTIONS OF THE EINSTEIN EQUATIONS WITH NO SYMMETRY, Journal of mathematical physics, 38(5), 1997, pp. 2602-2610
Citations number
24
Categorie Soggetti
Mathematical Method, Physical Science","Physycs, Mathematical
Journal title
Journal of mathematical physics → ACNP
ISSN journal
00222488
Volume
38
Issue
5
Year of publication
1997
Pages
2602 - 2610
Database
ISI
SICI code
0022-2488(1997)38:5<2602:OTTIOP>2.0.ZU;2-L
Abstract
The Gibbs-Duhem equation dU + pdV = TdS imposes restrictions on the pe rfect fluid solutions of Einstein equations that have a one-dimensiona l symmetry group or no symmetry at all. In this paper, we investigate the restrictions imposed on the Stephani Universe and on the two class es of models found by Szafron. Upon the Stephani Universe and the beta 'not equal 0 class of Szafron symmetries are forced. We find the most general subcases of the beta'=0 model of Szafron that are consistent w ith the Gibbs-Duhem equation and have no symmetry. (C) 1997 American I nstitute of Physics.