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 |
---|---|
Pages | 402-406 |
Number of pages | 5 |
Publication status | Published - 2010 Dec 1 |
Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: 2010 Sep 21 → 2010 Sep 25 |
Conference
Conference | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
---|---|
Country/Territory | Japan |
City | Kyoto |
Period | 10/9/21 → 10/9/25 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics