Collapse Geometry in Inhomogeneous FRW model

TL;DR

This paper investigates the gravitational collapse in an inhomogeneous FRW model with anisotropic matter, analyzing whether the collapse results in a black hole or a naked singularity by studying null geodesics.

Contribution

It introduces an analysis of collapse outcomes in an IFRW model with anisotropic pressure, focusing on the nature of the resulting singularity.

Findings

Conditions for black hole formation identified

Null geodesics analyzed near singularity

Outcome depends on initial conditions and anisotropy

Abstract

Collapsing process is studied in special type of inhomogeneous spherically symmetric space-time model (known as IFRW model), having no time-like Killing vector field. The matter field for collapse dynamics is considered to be perfect fluid with anisotropic pressure. The main issue of the present investigation is to examine whether the end state of the collapse to be a naked singularity or a black hole. Finally, null geodesics is studied near the singularity.