Higher dimensional radiation collapse and cosmic censorship

TL;DR

This paper investigates the formation of naked singularities versus black holes in higher-dimensional radiation collapse, showing naked singularities can form and violate cosmic censorship, with implications for gravitational theory.

Contribution

It provides necessary conditions for naked singularity formation in higher dimensions and demonstrates their strength, challenging the cosmic censorship conjecture.

Findings

Naked singularities can form in higher-dimensional radiation collapse.

Naked singularities are strong in Tipler's sense.

The study establishes conditions distinguishing black hole and naked singularity outcomes.

Abstract

We study the occurrence of naked singularities in the spherically symmetric collapse of radiation shells in a higher dimensional spacetime. The necessary conditions for the formation of a naked singularity or a black hole are obtained. The naked singularities are found to be strong in the Tipler's sense and thus violating cosmic censorship conjecture.