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Test fields cannot destroy extremal black holes

2016; IOP Publishing; Volume: 33; Issue: 17 Linguagem: Inglês

10.1088/0264-9381/33/17/175002

1361-6382

José Natário, Leonel Queimada, Rodrigo Vicente,

Astrophysical Phenomena and Observations

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.