Particle Creation in the Marginally Bound, Self Similar Collapse of Inhomogeneous Dust

TL;DR

This paper investigates the quantum radiation emitted during the formation of naked singularities in inhomogeneous dust collapse, suggesting that intense radiation could prevent naked singularities and offer observable quantum effects.

Contribution

It analyzes the evaporation process of naked singularities in self-similar dust collapse, highlighting the potential for back reaction to uphold cosmic censorship and produce detectable quantum signatures.

Findings

Radiation tends to infinity near the Cauchy Horizon.

Back reaction may prevent naked singularity formation.

Potential observational signatures of quantum effects.

Abstract

We consider the evaporation of the (shell focusing) naked singularity formed during the self-similar collapse of a marginally bound inhomogeneous dust cloud, in the geometric optics approximation. We show that, neglecting the back reaction of the spacetime, the radiation on $\scrip$ tends to infinity as the Cauchy Horizon is approached. Two consequences can be expected from this result: (a) that the back reaction of spacetime will be large and eventually halt the formation of a naked singularity thus preserving the Cosmic Censorship Hypothesis and (b) matter attempting to collapse into a naked singularity will radiate away energy at an intense rate, thereby possibly providing experimental signatures of quantum effects in curved spacetimes.