Particle Creation by Naked Singularities in Higher Dimensions

TL;DR

This paper explores particle creation by naked singularities in higher dimensions, revealing that such singularities emit higher-temperature radiation than black holes, which could be detectable in collider experiments.

Contribution

It extends the analysis of particle creation by naked singularities to general dimensions using a specific collapse model, showing deviations from Hawking radiation and potential experimental signatures.

Findings

Spectrum deviates from Hawking radiation due to scattering effects.

Temperature of radiation can be arbitrarily high, exceeding that of black holes.

Naked singularities may be distinguishable from black holes in collider experiments.

Abstract

Recently, the possibility was pointed out by one of the present authors and his collaborators that an effective naked singularity referred to as "a visible border of spacetime" is generated by high-energy particle collision in the context of large extra dimensions or TeV-scale gravity. In this paper, we investigate the particle creation by a naked singularity in general dimensions, while adopting a model in which a marginally naked singularity forms in the collapse of a homothetic lightlike pressureless fluid. We find that the spectrum deviates from that of Hawking radiation due to scattering near the singularity but can be recast in quasi-thermal form. The temperature is always higher than that of Hawking radiation of a same-mass black hole, and can be arbitrarily high depending on a parameter in the model. This implies that, in principle, the naked singularity may be distinguished from a black hole in collider experiments.