2013/10/01 by Betti Hartmann · 3 citations
Mathematics · Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Black hole (networking) #Charged black hole #Curvature #Geometry and complex manifolds #Holography #Homotopy and Cohomology in Algebraic Topology #Horizon #Scalar (mathematics) #Scalar field #Stability (learning theory) #gr-qc #hep-th
paper · pdf · doi:10.1016/j.nuclphysbps.2014.04.008
published in Nuclear Physics B - Proceedings Supplements 251-252, 45-49 (Elsevier BV) · 5 pages containing the written version of a talk given at the "Light Cone" Conference, Delhi, India in December 2012; to appear in Nucl. Phys. B Proceedings Supplement
arxiv created 2013/10/01 · openalex publication_date 2014/06/01 · arxiv updated 2015/06/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The stability of black holes and solitons in d-dimensional Anti-de Sitter space-time against scalar field condensation is discussed. The resulting solutions are "hairy" black holes and solitons, respectively. In particular, we will discuss static black hole solutions with hyperbolic, flat and spherical horizon topology and emphasize that two different type of instabilities exist depending on whether the scalar field is charged or uncharged, respectively. We will also discuss the influence of Gauss-Bonnet curvature terms. The results have applications within the AdS/CFT correspondence and describe e.g. holographic insulator/conductor/superconductor phase transitions.