2004/09/30 by Thomas Hertog, Kengo Maeda · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geometry #Mathematics #Mechanics #Noncommutative and Quantum Gravity Theories #Physics #Scalar (mathematics) #Theoretical physics #Thermodynamics #hep-th
paper · pdf · doi:10.1103/physrevd.71.024001
published as Phys.Rev. D71 (2005) 024001 · 18 pages, 4 figures
arxiv created 2004/09/30 · openalex publication_date 2005/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.