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

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.

arXiv comment12 pages, 9 figures, Minor changes in the reference section

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• Overcharging Extremal Black Holes
• Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravity
• Charged Particle Production Rate from Cosmic Censorship in Dilaton Black Hole Spacetimes
• Overcharging problem and thermodynamics in extended phase spaces
• Null shells: general matching across null boundaries and connection with cut-and-paste formalism
• Overcharging a multi black hole system and cosmic censorship
• General matching across Killing horizons of zero order
• Overcharging Extremal Rotating Black Holes
• Static Charged Polytropic Spheres with a Cosmological Constant: Physical Acceptability and Trapped Orbits