A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time
Differential Geometry
2016-03-07 v3 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
A perfect-fluid space-time of dimension n>3 with 1) irrotational velocity vector field, 2) null divergence of the Weyl tensor, is a generalised Robertson-Walker space-time with Einstein fiber. Condition 1) is verified whenever pressure and energy density are related by an equation of state. The contraction of the Weyl tensor with the velocity vector field is zero. Conversely, a generalized Robertson-Walker space-time with null divergence of the Weyl tensor is a perfect-fluid space-time.
Keywords
Cite
@article{arxiv.1508.05883,
title = {A condition for a perfect-fluid space-time to be a generalized Robertson-Walker space-time},
author = {Carlo Alberto Mantica and Luca Guido Molinari and Uday Chand De},
journal= {arXiv preprint arXiv:1508.05883},
year = {2016}
}
Comments
7 pages. Misprint corrected in Sect III