Massless charged particles: Cosmic censorship, and Third law of Black Hole Mechanics

TL;DR

This paper examines the stability of black holes and the cosmic censorship hypothesis by analyzing the effects of infalling massless charged particles and charged null shells, exploring implications for the third law of black hole mechanics.

Contribution

It investigates the impact of massless charged particles on black hole stability and the validity of cosmic censorship and the third law, extending prior work focused on massive particles.

Findings

Massless charged particles can challenge cosmic censorship.

Null charged shells influence black hole mechanics.

Results suggest conditions under which censorship may be violated.

Abstract

The formulation of the laws of black hole mechanics assumes the stability of black holes under perturbations in accordance with the "cosmic censorship hypothesis"(CCH). CCH prohibits the formation of a naked singularity by a physical process from a regular black hole solution with an event horizon. Earlier studies show that naked singularities can indeed be formed leading to the violation of CCH if a near-extremal black hole is injected with massive charged particles and the back reaction effects are neglected. We investigate the validity of CCH by considering the infall of charged massless particles as well as a charged null shell. We also discuss the issue of third law of black hole mechanics in the presence of null charged particles by considering various possibilities.