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

Jun Ichirou Koga, Kengo Maeda, Shunsuke Fujii

Research output: Contribution to conferencePaper

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
Pages402-406
Number of pages5
Publication statusPublished - 2010 Dec 1
Event20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan
Duration: 2010 Sep 212010 Sep 25

Conference

Conference20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
CountryJapan
CityKyoto
Period10/9/2110/9/25

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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  • Cite this

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