A New Class of String Cosmological Models in Cylindrically Symmetric Inhomogeneous Universe

TL;DR

This paper introduces a novel class of inhomogeneous string cosmological models with cylindrical symmetry, analyzing their physical and geometric properties under specific expansion-shear proportionality assumptions.

Contribution

It presents a new class of deterministic inhomogeneous string cosmological models with cylindrical symmetry, expanding the understanding of such models in cosmology.

Findings

Models exhibit specific physical and geometric characteristics.

The expansion is proportional to shear eigenvalues, leading to deterministic solutions.

Discussion of physical and geometric aspects of the models.

Abstract

A new class of cylindrically symmetric inhomogeneous string cosmological models is investigated. 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 physical and geometric aspects of the model are also discussed.