Quantum Effect and Curvature Strength of Naked Singularities

TL;DR

This paper explores how quantum effects, specifically particle creation, influence the formation and visibility of naked singularities in spherical dust collapse, suggesting strong NSs may be prevented by quantum backreaction.

Contribution

It provides a perturbative analysis linking the strength of naked singularities to quantum particle creation, highlighting potential quantum censorship effects.

Findings

Quantum particle creation diverges near strong NSs.

Weak NSs have finite quantum particle creation.

Quantum effects may hide or eliminate strong NSs.

Abstract

There are many solutions to the Einstein field equations that demonstrate naked singularity (NS) formation after regular evolution. It is possible, however, that such a quantum effect as particle creation prevents NSs from forming. We investigate the relation between the curvature strength and the quantum effects of NSs in a very wide class of spherical dust collapse. Through a perturbative calculation, we find that if the NS is very strong, the quantum particle creation diverges as the Cauchy horizon is approached, while if the NS is very weak, the creation should be finite. In the context of cosmic censorship, strong NSs will be subjected to the backreaction of quantum effects and may disappear or be hidden behind horizons, while weak NSs will not.