Stability of black holes and solitons in Anti-de Sitter space-time
arXiv:1310.0300 · doi:10.1016/j.nuclphysbps.2014.04.008
Abstract
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.
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