A New Class of Inhomogeneous String Cosmological Models in General Relativity

TL;DR

This paper introduces a new class of inhomogeneous string cosmological models within General Relativity, deriving solutions under specific assumptions and analyzing their physical and geometric properties.

Contribution

It presents novel solutions to Einstein's field equations for inhomogeneous cylindrically symmetric spacetimes with string sources, assuming proportionality between expansion and shear eigenvalues.

Findings

Derived explicit solutions for inhomogeneous string cosmologies.

Analyzed physical and geometric properties of the models.

Provided insights into the behavior of such cosmological models.

Abstract

A new class of solutions of Einstein field equations has been investigated for inhomogeneous cylindrically symmetric space-time with string source. 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 $\sigma^{i}_{j}$. Certain physical and geometric properties of the models are also discussed.