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.
|出版ステータス||Published - 2010 12 1|
|イベント||20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan|
継続期間: 2010 9 21 → 2010 9 25
|Conference||20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010|
|Period||10/9/21 → 10/9/25|
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