Energy condition and cosmic censorship conjecture in the perfect fluid collapse

TL;DR

This paper demonstrates that energy conditions prevent naked singularities in spherical perfect fluid collapse, supporting the strong cosmic censorship conjecture, and extends these results to include a cosmological constant background.

Contribution

It shows how energy conditions ensure the validity of the strong cosmic censorship conjecture in perfect fluid collapse models, including those with a cosmological constant.

Findings

Energy conditions prohibit naked singularities in perfect fluid collapse.

The strong cosmic censorship conjecture holds in this model.

Results extend to backgrounds with a cosmological constant.

Abstract

The hypothesis of cosmic censorship plays a crucial role in classical general relativity, namely, to ensure that naked singularities would never occur from the black hole singularity. In this paper, we will present how energy conditions prohibit forming the naked singularity in the spherical perfect fluid collapse, and thus the strong cosmic censorship conjecture hold in this model. We also show that this result can be extended to the cosmological constant background.