Symmetry Group Analysis for perfect fluid Inhomogeneous Cosmological Models in General Relativity
General Relativity and Quantum Cosmology
2014-07-14 v2
Abstract
In this paper, we have searched the existence of the similarity solution for plane symmetric inhomogeneous cosmological models in general relativity. The matter source consists of perfect fluid with proportionality relation between expansion scalar and shear scalar. The isovector fields of Einstein's field equation for the models under consideration are derived. A new class of exact solutions of Einstein's field equation have been obtained for inhomogeneous space-time. The physical behaviors and geometric aspects of the derived models have been discussed in detail.
Keywords
Cite
@article{arxiv.1305.4631,
title = {Symmetry Group Analysis for perfect fluid Inhomogeneous Cosmological Models in General Relativity},
author = {Ahmad T. Ali and Anil Kumar Yadav},
journal= {arXiv preprint arXiv:1305.4631},
year = {2014}
}
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13 pages