Inhomogeneous Bianchi Type I Cosmological Model with Electromagnetic Field in Lyra Geometry

TL;DR

This paper develops an inhomogeneous Bianchi type-I cosmological model incorporating electromagnetic fields within Lyra geometry, deriving new exact solutions and analyzing their physical properties.

Contribution

It introduces a novel class of exact solutions for inhomogeneous Bianchi type-I models in Lyra geometry with electromagnetic fields, considering metric and displacement potentials as functions of time and space.

Findings

New exact solutions for inhomogeneous Bianchi type-I models

Analysis of physical behavior of the solutions

Inclusion of electromagnetic fields in Lyra geometry

Abstract

We have investigated an inhomogeneous Bianchi type-I cosmological model with electromagnetic field based on Lyra geometry. A new class of exact solutions have been obtained by considering the potentials of metric and displacement field are functions of coordinates t and x. The physical behavior of the obtained model is discussed.