String Cosmological Model in Cylindrically Symmetric Inhomogeneous Universe with Electromagnetic Field II

TL;DR

This paper develops a cylindrically symmetric inhomogeneous string cosmological model incorporating electromagnetic fields, analyzing its physical and geometric properties under specific assumptions about the electromagnetic tensor and expansion behavior.

Contribution

It presents a new exact solution for an inhomogeneous string cosmological model with electromagnetic fields in cylindrical symmetry, considering specific electromagnetic and expansion conditions.

Findings

F_{12} depends only on x

Magnetic permeability varies with x and t

Model exhibits specific physical and geometric properties

Abstract

Cylindrically symmetric inhomogeneous string cosmological model of the universe in presence of electromagnetic field is investigated. We have assumed that F_{12} is the only non-vanishing component of electromagnetic field tensor F_{ij}. The Maxwell's equations show that F_{12} is the function of $x$ alone whereas 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 $\sigma^{i}_{j}$. Some physical and geometric prperties of the model are also discussed.