English

Test fields cannot destroy extremal black holes

General Relativity and Quantum Cosmology 2016-08-30 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1601.06809,
  title  = {Test fields cannot destroy extremal black holes},
  author = {Jose Natario and Leonel Queimada and Rodrigo Vicente},
  journal= {arXiv preprint arXiv:1601.06809},
  year   = {2016}
}

Comments

14 pages, 1 figure; v2: major rewrite, references added, results unchanged; matches final published version

R2 v1 2026-06-22T12:36:27.947Z