Test fields cannot destroy extremal black holes

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 arg...

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Bibliographic Details
Published in:Classical and quantum gravity 2016-09, Vol.33 (17), p.175002-175012
Main Authors: Natário, José, Queimada, Leonel, Vicente, Rodrigo
Format: Article
Language:English
Subjects:
Approximation
black hole thermodynamics
Black holes (astronomy)
Censorship
cosmic censorship
Event horizon
extremal black hole
Mathematical analysis
Quantum gravity
Thermodynamics
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Summary: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.
ISSN:0264-9381
1361-6382
DOI:10.1088/0264-9381/33/17/175002