On naked singularities in higher dimensional Vaidya space-times

TL;DR

This paper explores gravitational collapse in higher dimensions, showing that increased dimensions tend to favor black hole formation over naked singularities, supporting the Cosmic Censorship Conjecture in infinite dimensions.

Contribution

It demonstrates how higher dimensions influence the end state of collapse, revealing a transition from naked singularities to black holes as dimensions increase.

Findings

Higher dimensions suppress naked singularities in collapse.

Black holes become the dominant end state in infinite dimensions.

Cosmic Censorship Conjecture holds in infinite-dimensional space.

Abstract

We investigate the end state of gravitational collapse of null fluid in higher dimensional space-times. Both naked singularities and black holes are shown to be developing as final outcome of the collapse. The naked singularity spectrum in collapsing Vaidya region (4D) gets covered with increase in dimensions and hence higher dimensions favor black hole in comparison to naked singularity. The Cosmic Censorship Conjecture will be fully respected for a space of infinite dimension.