Massless charged particles: Cosmic censorship, and the 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. * fairoos.c@iitgn.ac.in † avirup.ghosh@iitgn.ac.in ‡ sudiptas@iitgn.ac.in arXiv:1709.05081v2 [gr-qc]

Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles’ absorption

“…where ω is the energy of the ingoing fermion. Substituting equation (30) into equations (26), (27) and canceling A and B, we get…”

Overcharging a multi-black-hole system and cosmic censorship

“…Overcharging via test field absorption instead of test particle was pursued in [9][10][11]. Various other attempts of overcharging have been carried out in last few decades over a wide range of black hole solutions in general relativity in order to look for any possible violation of cosmic censorship [12][13][14][15][16][17][18][19][20][21][22][23][24].…”

Overcharging higher curvature black holes

“…Interestingly, the physics of general relativity prohibits such a process, the test particles with sufficient charge and angular momentum, which can overcharge the black hole get repelled and does not enter the event horizon. Similar analysis has been done on various scenarios, and it is always found that the formation of a naked singularity by overcharging is not possible [12][13][14][15][16][17][18][19][20][21]. On the other hand, Hubeny has shown that if the initial configuration is near extremal, it is possible to overcharge a Reissner-Nordstrom (RN) black hole using test particle absorption [22].…”

“…This is first attempted in the seminal work of Wald [6], and he proved that it is impossible to overcharge or overspin an extremal Kerr-Newman black hole via the process of test particle absorption. In followup works, the validity of WCC for several class of black hole spacetimes has been extensively studied [10][11][12][13][14][15][16][17][18][19][20][21][22][23]. Also, Hubeny showed that it is possible to overcharge a near extremal black hole to create a naked singularity in the final state via charged particle absorption as long as back-reaction effects can be neglected [24].…”