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Test fields cannot destroy extremal black holes

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arxiv 1601.06809 v2 pith:AVFKZDTH submitted 2016-01-25 gr-qc

classification gr-qc
keywords blackcannotextremalfieldsholestestcensorshipcosmic
verification ladder T0 review T1 audit T2 compute T3 formal
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We prove that (possibly charged) test fields satisfying the null energy condition at the event horizon cannot overspin/overcharge extremal Kerr-Newman or Kerr-Newman-anti de Sitter black holes, that is, the weak cosmic censorship conjecture cannot be violated in the test field approximation. The argument relies on black hole thermodynamics (without assuming cosmic censorship), and does not depend on the precise nature of the fields. We also discuss generalizations of this result to other extremal black holes.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Weak Cosmic Censorship with spinning particles in Kerr-(A)dS spacetimes

    gr-qc 2025-07 conditional novelty 6.0 of 10

    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.

  2. Superradiance -- the 2020 Edition

    gr-qc 2015-01 unverdicted novelty 4.0 of 10

    Black-hole superradiance extracts energy via the ergoregion and can trigger instabilities with applications to dark matter, beyond-Standard-Model physics, and laboratory analogs.

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