Collapsing perfect fluid in self-similar five dimensional space-time and cosmic censorship

TL;DR

This paper explores gravitational collapse in five-dimensional space-time with a perfect fluid, demonstrating that naked singularities can form and violate the cosmic censorship conjecture, with these singularities being gravitationally strong.

Contribution

It provides a novel analysis of naked singularities in higher-dimensional collapse, showing their strength and implications for cosmic censorship in five dimensions.

Findings

Naked singularities can form in five-dimensional collapse.

Such singularities are gravitationally strong according to Tipler.

The results challenge the cosmic censorship conjecture in higher dimensions.

Abstract

We investigate the occurrence and nature of naked singularities in the gravitational collapse of a self-similar adiabatic perfect fluid in a five dimensional space-time. The naked singularities are found to be gravitationally strong in the sense of Tipler and thus violate the cosmic censorship conjecture.