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arXiv · 1305.4631

Symmetry Group Analysis for perfect fluid Inhomogeneous Cosmological Models in General Relativity

Ahmad T. Ali·Anil Kumar Yadav
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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.

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Ahmad T. Ali, Anil Kumar Yadav. 2013-08-01. Symmetry Group Analysis for perfect fluid Inhomogeneous Cosmological Models in General Relativity. https://doi.org/10.1007/s10773-014-2049-1

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