Investigating the gedanken experiment to destroy the event horizon of a regular black hole

Abstract

Recently, Li and Bambi proposed a hypothesis that the event horizon of a regular black hole can be destroyed because these objects have no gravitational singularity and therefore they are not protected by the weak cosmic censorship conjecture (WCCC). In this paper, to test their hypothesis, we perform the new version of the gedanken experiments proposed by Sorce and Wald to overcharge a near extremal static electrically regular black hole. After introducing the stability condition of the spacetime and the null energy condition of matter fields, we derive the first-order and second-order perturbation inequalities of the perturbation matter fields based on the Iyer-Wald formalism. As a result, we find that these regular black holes cannot be destroyed under the second-order approximation after these two perturbation inequalities are taken into account, even though they are not protected by the WCCC. Our results indicate that there might be some deeper mechanisms to protect the event horizon of the black holes.

arXiv comment6 pages, 3 figures. This paper has been accepted by PRD

References in corpus (27)

• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Construction of Regular Black Holes in General Relativity
• Overcharging a Black Hole and Cosmic Censorship
• Over-spinning a black hole with a test body
• 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
• Cosmic Censorship, Black Holes and Integer-spin Test Fields
• Destroying Kerr-Sen black holes
• Cosmic Censorship, Area Theorem, and Self-Energy of Particles
• Destroying the event horizon of regular black holes
• Overcharging higher-dimensional black holes with point particles
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Higher-dimensional charged black holes cannot be over-charged by gedanken experiments
• 5-dimensional Myers-Perry Black Holes Cannot be Over-spun by Gedanken Experiments
• Gedanken experiments on nearly extremal black holes and the Third Law
• Electromagnetic field and cosmic censorship
• Weak cosmic censorship, dyonic Kerr-Newman black holes and Dirac fields
• Examining the weak cosmic censorship conjecture by gedanken experiments for Kerr-Sen black holes
• Thermodynamics of Three-dimensional Black Holes via Charged Particle Absorption
• Cosmic Censorship and parametrized spinning black-hole geometries
• Destroying black holes with test bodies
• Weak cosmic censorship conjecture in Einstein-Born-Infeld black holes
• Static charged dilaton black hole cannot be overcharged by gedanken experiments
• Static charged Gauss-Bonnet black holes cannot be overcharged by the new version of gedanken experiments
• Comment on "Generic rotating regular black holes in general relativity coupled to non-linear electrodynamics"

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