Some Plane Symmetric Inhomogeneous Cosmological Models in the Scalar-Tensor Theory of Gravitation

TL;DR

This paper derives new inhomogeneous plane symmetric cosmological models within scalar-tensor gravity using symmetry analysis, providing analytical solutions and discussing their physical and geometric properties.

Contribution

It introduces a new class of similarity solutions for inhomogeneous models in scalar-tensor theory using symmetry group analysis.

Findings

Derived new analytical similarity solutions for inhomogeneous models

Analyzed physical behavior of the models

Discussed geometric aspects of the solutions

Abstract

The present study deals with the inhomogeneous plane symmetric models in scalar - tensor theory of gravitation. We used symmetry group analysis method to solve the field equations analytically. A new class of similarity solutions have been obtained by considering the inhomogeneous nature of metric potential. The physical behavior and geometrical aspects of the derived models are also discussed.