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Cosmic Censorship of Rotating Anti-de Sitter Black Hole
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We test the validity of cosmic censorship in the rotating anti-de Sitter black hole. For this purpose, we investigate whether the extremal black hole can be overspun by the particle absorption. The particle absorption will change the mass and angular momentum of the black hole, which is analyzed using the Hamilton-Jacobi equations consistent with the laws of thermodynamics. We have found that the mass of the extremal black hole increases more than the angular momentum. Therefore, the outer horizon of the black hole still exists, and cosmic censorship is valid.
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Cited by 4 Pith papers
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Trapped Surface as a Cosmic Censor
A trapped-surface criterion, derived under null convergence and generic conditions, rules out superextremal Reissner-Nordström, Kerr-Newman, and related final states in overcharging thought experiments without using a...
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Weak Cosmic Censorship with spinning particles in Kerr-(A)dS spacetimes
Extremal Kerr-de Sitter black holes cannot be overspun by spinning test particles, and apparent Kerr-anti-de Sitter overspinning configurations are eliminated once the particle's finite size is respected.
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The First Law and Weak Cosmic Censorship for de Sitter Black Holes
An Iyer-Wald first law is established for general perturbations of Reissner-Nordstrom-de Sitter black holes, and a second-order Sorce-Wald argument shows that near-extremal such black holes cannot be overcharged under...
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Six-dimensional Myers-Perry rotating black hole cannot be overspun
A six-dimensional rotating black hole with two spins cannot be overspun by test particle accretion, so weak cosmic censorship holds for this case.
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