Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes

Abstract

Recently, Sorce and Wald have suggested a new version of the gedanken experiments to overspin or overcharge the Kerr-Newman black holes in Einstein-Maxwell gravity. Following their setup, in this paper, we investigate the weak cosmic censorship conjecture (WCCC) in the static Einstein-Born-Infeld black holes for the Einstein gravity coupled to nonlinear electrodynamics. First of all, we derive the first two order perturbation inequalities of the charged collision matter in the Einstein-Born-Infeld gravity based on the Iyer-Wald formalism as well as the null energy conditions of the matter fields and show that they share the same form as these in Einstein-Maxwell gravity. As a result, we find that the static Einstein-Born-Infeld black holes cannot be overcharged under the second-order approximation after considering these inequalities. Our result at some level hints at the validity of the weak cosmic censorship conjecture for string theory.

7 pages, 1 figure, and this paper has been accepted by PRD. arXiv admin note: text overlap with arXiv:1909.02219

References in corpus (7)

• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Destroying extremal Kerr-Newman black holes with test particles
• Destroying a near-extremal Kerr-Newman black hole
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Overcharging higher-dimensional black holes with point particles
• Gedanken experiments on nearly extremal black holes and the Third Law
• Examining the weak cosmic censorship conjecture by gedanken experiments for Kerr-Sen black holes

Cited by in corpus (12)

• Gedanken experiments at high-order approximation: nearly extremal Reissner-Nordstrom black holes cannot be overcharged
• Extending the weak cosmic censorship conjecture to the charged Buchdahl star by employing the gedanken experiments
• Overcharging process around a magnetized black hole: Can the backreaction effect of magnetic field restore cosmic censorship conjecture?
• New version of the gedanken experiments to test the weak cosmic censorship in charged dilaton-Lifshitz black holes
• Examining the weak cosmic censorship conjecture by gedanken experiments for an EMDA black hole
• The variational method, backreactions, and the absorption probability in Wald type problems
• The topological RN-AdS black holes cannot be overcharged by the new version of gedanken experiment
• Spin-2 fields and cosmic censorship
• The First Law and Weak Cosmic Censorship for de Sitter Black Holes
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Second order variations and the overspinning problem in Kerr-Taub-NUT spacetime
• Violation of cosmic censorship in Einstein-Maxwell-Scalar models with fractional coupling