Lyra's cosmology of inhomogeneous universe with electromagnetic field

TL;DR

This paper develops inhomogeneous cosmological models within Lyra's geometry incorporating electromagnetic fields, generalizing previous solutions and aligning with recent supernova observations.

Contribution

It introduces new inhomogeneous plane-symmetric cosmological solutions in Lyra's geometry with electromagnetic fields, extending prior models and analyzing their physical properties.

Findings

Solutions generalize previous models by Pradhan et al. (2007).

Models are consistent with recent type Ia supernovae observations.

Physical and kinematical properties of the models are thoroughly studied.

Abstract

The plane-symmetric inhomogeneous cosmological models of perfect fluid distribution with electro-magnetic field is obtained in the framework of Lyra's geometry. To get the deterministic solution, I have considered $ A=f(x)\nu(t) $, $ B=g(x)\mu(t) $ and $ C=h(x)\mu(t) $, where A, B and C are metric coefficients. It has been found that the solutions generalize the solution obtained by Pradhan, Yadav and Singh (2007) and are consistent with the recent observations of type Ia supernovae. A detailed study of physical and kinematical properties of the models have been carried out.