Naked Singularities in Higher Dimensional Szekeres Space-time

TL;DR

This paper investigates the formation of naked singularities during gravitational collapse in higher-dimensional Szekeres space-time, analyzing geodesics to determine conditions under which singularities are visible.

Contribution

It extends the analysis of naked singularities to (n+2) dimensional Szekeres space-time, providing new insights into higher-dimensional gravitational collapse.

Findings

Naked singularities can form in higher-dimensional Szekeres space-time.

Null geodesics analysis reveals conditions for naked singularity visibility.

The study generalizes previous four-dimensional results to higher dimensions.

Abstract

In this paper we study the quasi-spherical gravitational collapse of (n+2) dimensional Szekeres space-time. The nature of the central shell focusing singularity so formed is analyzed by studying both the radial null and time-like geodesic originated from it. We follow the approach of Barve et al to analyze the null geodesic and find naked singularity in different situations.