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

Abstract

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.

Authors:
 [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)
Publication Date:
OSTI Identifier:
20705819
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 71; Journal Issue: 2; Other Information: DOI: 10.1103/PhysRevD.71.024001; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; BOUNDARY CONDITIONS; COSMOLOGY; DE SITTER GROUP; FLUCTUATIONS; MATHEMATICAL SOLUTIONS; SCALAR FIELDS; SCALARS; SCHWARZSCHILD METRIC; STABILITY; SUPERGRAVITY; THERMODYNAMICS

Citation Formats

Hertog, Thomas, and Maeda, Kengo. Stability and thermodynamics of AdS black holes with scalar hair. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.71.024001.
Hertog, Thomas, & Maeda, Kengo. Stability and thermodynamics of AdS black holes with scalar hair. United States. https://doi.org/10.1103/PhysRevD.71.024001
Hertog, Thomas, and Maeda, Kengo. 2005. "Stability and thermodynamics of AdS black holes with scalar hair". United States. https://doi.org/10.1103/PhysRevD.71.024001.
@article{osti_20705819,
title = {Stability and thermodynamics of AdS black holes with scalar hair},
author = {Hertog, Thomas and Maeda, Kengo},
abstractNote = {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.},
doi = {10.1103/PhysRevD.71.024001},
url = {https://www.osti.gov/biblio/20705819}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 2,
volume = 71,
place = {United States},
year = {Sat Jan 15 00:00:00 EST 2005},
month = {Sat Jan 15 00:00:00 EST 2005}
}