String Cosmological Model in Cylindrically Symmetric Inhomogeneous Universe with Electromagnetic Field

TL;DR

This paper develops a cylindrically symmetric inhomogeneous string cosmological model incorporating electromagnetic fields, revealing an inflationary universe with exponential volume growth and a point singularity, while analyzing its physical and geometric properties.

Contribution

It introduces a new inhomogeneous string cosmological model with electromagnetic fields, assuming specific conditions on the electromagnetic tensor and shear expansion proportionality.

Findings

The model exhibits exponential volume expansion indicating inflation.

The solution features a point type singularity.

Physical and geometric properties of the model are thoroughly discussed.

Abstract

Cylindrically symmetric inhomogeneous string cosmological models in presence of electromagnetic field is investigated. We have assumed that $F_{12}$ is the only non-vanishing component of $F_{ij}$. The Maxwell's equations require that $F_{12}$ is the function of $x$ and $t$ both and the magnetic permeability is the function of $x$ and $t$ both. To get the deterministic solution, it has been assumed that the expansion ($\theta$) in the model is proportional to the eigen value $\sigma^{1}_{1}$ of the shear tensor $\sigma^{i}_{j}$. The derived model represents the inflationary scenario as the proper volume increases exponentially with cosmic time. It is observed that the model has a point type singularity. The physical and geometric aspects of the model are also discussed.