Violation of cosmic censorship in the gravitational collapse of a dust cloud in five dimension

TL;DR

This paper investigates gravitational collapse in five-dimensional spacetime, demonstrating conditions under which null geodesics from singularities can reach infinity, thus challenging the cosmic censorship conjecture.

Contribution

It introduces a new method to analyze null geodesics in five-dimensional collapse, proving when solutions exist or not, and showing potential violations of cosmic censorship.

Findings

Null geodesics can emanate from singularities in certain conditions.

Null geodesics can extend to null infinity, indicating possible cosmic censorship violation.

The method provides a new way to analyze higher-dimensional gravitational collapse.

Abstract

We analyze the null geodesic equations in five dimensional spherically symmetric spacetime with collapsing inhomogeneous dust cloud. By using a new method, we prove the existence and non-existence of solutions to null geodesic equation emanating from central singularity for smooth initial distribution of dust. Moreover, we also show that the null geodesics can extend to null infinity in a certain case, which imply the violation of cosmic censorship conjecture.