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 language | English |
|---|---|
| Title of host publication | Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
| Pages | 402-406 |
| Number of pages | 5 |
| Publication status | Published - 2010 |
| Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto Duration: 2010 Sep 21 → 2010 Sep 25 |
Other
| Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
|---|---|
| City | Kyoto |
| Period | 10/9/21 → 10/9/25 |
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ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics
Cite this
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.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - The final fate of instability of Reissner-Nordström-AdS black holes
AU - Koga, Jun Ichirou
AU - Maeda, Kengo
AU - Fujii, Shunsuke
PY - 2010
Y1 - 2010
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=84887488572&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84887488572&partnerID=8YFLogxK
M3 - Conference contribution
SP - 402
EP - 406
BT - Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010
ER -