Role of Pressure in Quasi-Spherical Gravitational Collapse

TL;DR

This paper investigates how pressure influences quasi-spherical gravitational collapse in Szekeres space-time, analyzing different matter models and their asymptotic behaviors, including collapse dynamics with anisotropic pressure.

Contribution

It provides new solutions for quasi-spherical Szekeres space-time with various matter contents and explores the impact of pressure on gravitational collapse.

Findings

Cosmological solutions for perfect fluid and tangential stress cases.

Asymptotic behavior of these solutions analyzed.

Collapse dynamics with anisotropic pressure discussed.

Abstract

We study quasi-spherical Szekeres space-time (which possess no killing vectors) for perfect fluid, matter with tangential stress only and matter with anisotropic pressure respectively. In the first two cases cosmological solutions have been obtained and their asymptotic behaviour have been examined while for anisotropic pressure, gravitational collapse has been studied and the role of the pressure has been discussed.