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

TL;DR

This paper uses symmetry group analysis to find new exact solutions for inhomogeneous cosmological models with perfect fluid in general relativity, revealing their physical and geometric properties.

Contribution

It introduces a novel application of symmetry analysis to derive a new class of inhomogeneous cosmological solutions with perfect fluid in Einstein's field equations.

Findings

Derived new exact solutions for inhomogeneous cosmological models.

Analyzed physical behaviors and geometric aspects of the solutions.

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.