Gravitational Collapse in Higher Dimension

TL;DR

This paper investigates gravitational collapse in higher-dimensional space-times, demonstrating the conditions under which naked singularities can form in both marginally and non-marginally bound dust collapse scenarios.

Contribution

It extends the analysis of dust collapse to higher dimensions, showing naked singularities can occur in any dimension for non-marginal cases and up to five dimensions for marginally bound cases.

Findings

Naked singularities are possible in non-marginally bound collapse for any dimension.

In marginally bound collapse, naked singularities occur up to five dimensions.

The study analyzes radial null geodesics to determine singularity visibility.

Abstract

Spherically symmetric inhomogeneous dust collapse has been studied in higher dimensional space-time and appearance of naked singularity has been analyzed both for non-marginal and marginally bound cases. It has been shown that naked singularity is possible for any arbitrary dimension in non-marginally bound case. For marginally bound case we have examined the radial null geodesics from the singularity and found that naked singularity is possible upto five dimension.