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

Jun Ichirou Koga, Kengo Maeda, Shunsuke Fujii

研究成果: Conference contribution

抄録

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.

元の言語English
ホスト出版物のタイトルProceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
ページ402-406
ページ数5
出版物ステータスPublished - 2010
イベント20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto
継続期間: 2010 9 212010 9 25

Other

Other20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
Kyoto
期間10/9/2110/9/25

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critical temperature
entropy

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

これを引用

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

The final fate of instability of Reissner-Nordström-AdS black holes. / Koga, Jun Ichirou; Maeda, Kengo; Fujii, Shunsuke.

Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. 2010. p. 402-406.

研究成果: Conference contribution

Koga, JI, Maeda, K & Fujii, S 2010, The final fate of instability of Reissner-Nordström-AdS black holes. : Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. pp. 402-406, 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, 10/9/21.
Koga JI, Maeda K, Fujii S. The final fate of instability of Reissner-Nordström-AdS black holes. : Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. 2010. p. 402-406
Koga, Jun Ichirou ; Maeda, Kengo ; Fujii, Shunsuke. / The final fate of instability of Reissner-Nordström-AdS black holes. Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010. 2010. pp. 402-406
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AB - 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.

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