Higher dimensional inhomogeneous dust collapse and cosmic censorship

TL;DR

This paper explores how higher dimensions influence the formation of naked singularities versus black holes during dust cloud collapse, finding that higher dimensions tend to favor black hole formation.

Contribution

It provides new insights into the role of higher dimensions in gravitational collapse, specifically showing that they tend to suppress naked singularities in inhomogeneous dust models.

Findings

Higher dimensions favor black hole formation over naked singularities.

Naked singularities, when present, are gravitationally strong according to Tipler.

The study extends collapse analysis to higher-dimensional spacetimes.

Abstract

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by higher dimensional Tolman-Bondi space-times. The naked singularities are found to be gravitationally strong in the sense of Tipler. Higher dimensions seem to favour black holes rather than naked singularities.