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Title: Stability and thermodynamics of AdS black holes with scalar hair

Journal Article · · Physical Review. D, Particles Fields
 [1];  [2]
  1. Department of Physics, UCSB, Santa Barbara, California 93106 (United States)
  2. Department of General Education, Kobe City College of Technology, 8-3 Gakuen-higashi-machi, Nishi-ku, Kobe 651-2194 (Japan)

Recently a class of static spherical black hole solutions with scalar hair was found in four and five dimensional gauged supergravity with modified, but anti-de Sitter (AdS) invariant boundary conditions. These black holes are fully specified by a single conserved charge, namely, their mass, which acquires a contribution from the scalar field. Here we report on a more detailed study of some of the properties of these solutions. A thermodynamic analysis shows that in the canonical ensemble the standard Schwarzschild-AdS black hole is stable against decay into a hairy black hole. We also study the stability of the hairy black holes and find there always exists an unstable radial fluctuation, in both four and five dimensions. We argue, however, that Schwarzschild-AdS is probably not the end state of evolution under this instability.

OSTI ID:
20705819
Journal Information:
Physical Review. D, Particles Fields, Vol. 71, Issue 2; Other Information: DOI: 10.1103/PhysRevD.71.024001; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
Country of Publication:
United States
Language:
English