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Cosmic Censorship, Area Theorem, and Self-Energy of Particles
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The (zeroth-order) energy of a particle in the background of a black hole is given by Carter's integrals. However, exact calculations of a particle's {\it self-energy} (first-order corrections) are still beyond our present reach in many situations. In this paper we use Hawking's area theorem in order to derive bounds on the self-energy of a particle in the vicinity of a black hole. Furthermore, we show that self-energy corrections {\it must} be taken into account in order to guarantee the validity of Penrose cosmic censorship conjecture.
Forward citations
Cited by 2 Pith papers
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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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Violating Weak Cosmic Censorship in AdS$_3$ via Gedanken Experiment
Under the test-particle approximation, an extremal quantum-corrected BTZ black hole can have its horizon destroyed by a particle with large angular momentum, giving a potential counterexample to weak cosmic censorship.
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