A scalar field condensation instability of rotating Anti-de Sitter black holes

被引：0
作者：
Óscar J. C. Dias
Ricardo Monteiro
Harvey S. Reall
Jorge E. Santos
机构：
[1] University of Cambridge,DAMTP, Centre for Mathematical Sciences
[2] CFP,undefined
[3] Faculdade de Ciências da Universidade do Porto,undefined
来源：
Journal of High Energy Physics | / 2010卷
关键词：
Black Holes; AdS-CFT Correspondence;
D O I：
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摘要：
Near-extreme Reissner-Nordström-anti-de Sitter black holes are unstable against the condensation of an uncharged scalar field with mass close to the Breitenlöhner-Freedman bound. It is shown that a similar instability afflicts near-extreme large rotating AdS black holes, and near-extreme hyperbolic Schwarzschild-AdS black holes. The resulting nonlinear hairy black hole solutions are determined numerically. Some stability results for (possibly charged) scalar fields in black hole backgrounds are proved. For most of the extreme black holes we consider, these demonstrate stability if the “effective mass” respects the near-horizon BF bound. Small spherical Reissner-Nordström-AdS black holes are an interesting exception to this result.
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  • [1] Gubser SS(2008)Breaking an Abelian gauge symmetry near a black hole horizon Phys. Rev. D 78 065034-undefined
  • [2] Hartnoll SA(2008)Holographic superconductors JHEP 12 015-undefined
  • [3] Herzog CP(1982)Stability in gauged extended supergravity Ann. Phys. 144 249-undefined
  • [4] Horowitz GT(1982)Positive energy in Anti-de Sitter backgrounds and gauged extended supergravity Phys. Lett. B 115 197-undefined
  • [5] Breitenlohner P(1985)Stability at a local maximum in higher dimensional Anti-de Sitter space and applications to supergravity Ann. Phys. 160 406-undefined
  • [6] Freedman DZ(2009)Landscape of superconducting membranes Phys. Rev. D 79 126008-undefined
  • [7] Breitenlohner P(2009)A rotating holographic superconductor Phys. Rev. D 80 084031-undefined
  • [8] Freedman DZ(1999)Rotation and the AdS/CFT correspondence Phys. Rev. D 59 064005-undefined
  • [9] Mezincescu L(2009)Zero temperature limit of holographic superconductors JHEP 11 015-undefined
  • [10] Townsend PK(2010)Small hairy black holes in global AdS spacetime JHEP 10 045-undefined
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