Naked singularities in higher dimensional inhomogeneous dust collapse

TL;DR

This paper explores the formation of naked singularities in higher-dimensional inhomogeneous dust collapse, showing they can be gravitationally strong and challenge the cosmic censorship conjecture.

Contribution

It provides a detailed analysis of naked singularities in non self-similar higher-dimensional Tolman spacetimes, highlighting conditions for their formation.

Findings

Naked singularities can form in higher-dimensional dust collapse.

Such singularities are gravitationally strong in the Tipler sense.

The results challenge the cosmic censorship conjecture.

Abstract

We investigate the occurrence and nature of a naked singularity in the gravitational collapse of an inhomogeneous dust cloud described by a non self-similar higher dimensional Tolman spacetime. The necessary condition for the formation of a naked singularity or a black hole is obtained. The naked singularities are found to be gravitationally strong in the sense of Tipler and provide another example that violates the cosmic censorship conjecture.