Role of Initial Data in Higher Dimensional Quasi-Spherical Gravitational Collapse

TL;DR

This paper investigates how initial data, specifically a power function of the radial coordinate, influences the formation of singularities during higher-dimensional quasi-spherical gravitational collapse in Szekeres space-time.

Contribution

It introduces a novel approach by using a power function of the radial coordinate as initial data, analyzing its impact on singularity formation in higher-dimensional collapse.

Findings

Initial data significantly affects singularity formation.

Power function initial data alters collapse outcomes.

Results provide insights into higher-dimensional gravitational dynamics.

Abstract

We study the gravitational collapse in ($n+2$)-D quasi-spherical Szekeres space-time (which possess no killing vectors) with dust as the matter distribution. Instead of choosing the radial coordinate `$r$' as the initial value for the scale factor $R$, we consider a power function of $r$ as the initial scale for the radius $R$. We examine the influence of initial data on the formation of singularity in gravitational collapse.