The final fate of instability of Reissner-Nordström-AdS black holes

Jun Ichirou Koga, Kengo Maeda, Shunsuke Fujii

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We investigate dynamical and thermodynamical instability of the 4-d Reissner- Nordström-Anti de-Sitter (RN-AdS) black holes. In accordance with the holographic model of superconductor, we find, by computing the quasi-normal mode, that the RN-AdS black holes are unstable below the critical temperature. We also calculate the difference of the entropy between the RN-AdS black hole and the hairy black hole that emerges below the critical temperature. It is shown that the hairy black hole carries larger entropy than the RN-AdS black hole in the micro-canonical ensemble, which implies that the RN-AdS black holes evolve towards the hairy black holes, due to the instability.

Original languageEnglish
Title of host publicationProceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
Pages402-406
Number of pages5
Publication statusPublished - 2010
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto
Duration: 2010 Sep 212010 Sep 25

Other

Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
CityKyoto
Period10/9/2110/9/25

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ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Koga, J. I., Maeda, K., & Fujii, S. (2010). The final fate of instability of Reissner-Nordström-AdS black holes. In Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 (pp. 402-406)