English

Destroying extremal Kerr-Newman black holes with test particles

General Relativity and Quantum Cosmology 2013-02-26 v2

Abstract

It has been shown that a nearly extremal black hole can be overcharged or overspun by a test particle if radiative and self-force effects are neglected, indicating that the cosmic censorship might fail. In contrast, the existing evidence in literature suggests that an extremal black hole cannot be overcharged or overspun in a similar process. In this paper, we show explicitly that even an exactly extremal black hole can be destroyed by a test particle, leading to a possible violation of the cosmic censorship. By considering higher order terms, which were neglected in previous analysis, we show that the violation is generic for any extremal Kerr-Newman black hole with nonvanishing charge and angular momentum. We also find that the allowed parameter range for the particle is very narrow, indicating that radiative and self-force effects should be considered and may prevent violation of the cosmic censorship.

Keywords

Cite

@article{arxiv.1211.2631,
  title  = {Destroying extremal Kerr-Newman black holes with test particles},
  author = {Sijie Gao and Yuan Zhang},
  journal= {arXiv preprint arXiv:1211.2631},
  year   = {2013}
}

Comments

9 pages, 2 figure