A Plane-Symmetric Inhomogeneous Cosmological Model of Perfect Fluid Distribution with Electromagnetic Field I

TL;DR

This paper develops a plane-symmetric inhomogeneous cosmological model incorporating perfect fluid and electromagnetic fields, analyzing its physical properties under specific gravitational conditions.

Contribution

It introduces a new exact solution for an inhomogeneous cosmological model with electromagnetic fields assuming Petrov type-II non-degenerate free gravitational field.

Findings

Electromagnetic field tensor behavior analyzed

Model exhibits specific physical and geometric properties

Solution under Petrov type-II assumption

Abstract

A plane-symmetric inhomogeneous cosmological model of perfect fluid distribution with electro-magnetic field is obtained. The source of the magnetic field is due to an electric current produced along the z-axis. $F_{12}$ is the non-vanishing component of electromagnetic field tensor. To get a deterministic solution, we assume the free gravitational field is Petrov type-II non-degenerate. The behaviour of the electro-magnetic field tensor together with some physical aspects of the model are also discussed.