Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes

Abstract

A thought experiment considered recently in the literature, in which it is investigated whether a dyonic Kerr-Newman black hole can be destroyed by overcharging or overspinning it past extremality by a massive complex scalar test field, is revisited. Another derivation of the result that this is not possible, i.e. the weak cosmic censorship is not violated in this thought experiment, is given. The derivation is based on conservation laws, on a null energy condition, and on specific properties of the metric and the electromagnetic field of dyonic Kerr-Newman black holes. The metric is kept fixed, whereas the dynamics of the electromagnetic field is taken into account. A detailed knowledge of the solutions of the equations of motion is not needed. The approximation in which the electromagnetic field is fixed is also considered, and a derivation for this case is also given. In addition, an older version of the thought experiment, in which a pointlike test particle is used, is revisited. The same result, namely the non-violation of the cosmic censorship, is rederived in a way which is simpler than in earlier works.

18 pages, LaTeX

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• Overcharging higher-dimensional black holes with point particles
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
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• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Weak Cosmic Censorship, Superradiance and Quantum Particle Creation
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
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• Spacetime Singularities and Cosmic Censorship Conjecture: A Review with Some Thoughts
• Electromagnetic field and cosmic censorship
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• Testing cosmic censorship conjecture near extremal black holes with cosmological constants
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• Charged Particle and Strong Cosmic Censorship in Reissner-Nordström-de Sitter Black Holes
• Proof of the weak cosmic censorship conjecture for several extremal black holes
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• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Thermodynamics in Rotating Anti-de Sitter Black Holes with Massive Scalar Field in Three Dimensions
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• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption
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• The Gravity of Classical Fields: And Its Effect on the Dynamics of Gravitational Systems