Gravitational Collapse of Perfect Fluid in Self-Similar Higher Dimensional Space-Times

TL;DR

This paper explores how naked singularities can form during the gravitational collapse of perfect fluids in higher-dimensional self-similar space-times, discussing implications for cosmic censorship and extending four-dimensional results.

Contribution

It demonstrates the conditions under which strong curvature naked singularities occur in higher dimensions, generalizing previous four-dimensional findings.

Findings

Naked singularities can form if the weak energy condition holds.

Results extend known four-dimensional collapse outcomes to higher dimensions.

Implications for cosmic censorship conjecture are discussed.

Abstract

We investigate the occurrence and nature of naked singularities in the gravitational collapse of an adiabatic perfect fluid in self-similar higher dimensional space-times. It is shown that strong curvature naked singularities could occur if the weak energy condition holds. Its implication for cosmic censorship conjecture is discussed. Known results of analogous studies in four dimensions can be recovered.