Stability and thermodynamics of AdS black holes with scalar hair

Thomas Hertog, Kengo Maeda

Research output: Contribution to journalArticle

47 Citations (Scopus)

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.

Original languageEnglish
Article number024001
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume71
Issue number2
DOIs
Publication statusPublished - 2005
Externally publishedYes

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hair
scalars
thermodynamics
supergravity
boundary conditions
decay

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

Stability and thermodynamics of AdS black holes with scalar hair. / Hertog, Thomas; Maeda, Kengo.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 71, No. 2, 024001, 2005.

Research output: Contribution to journalArticle

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