Small horizons

Abstract

All near-horizon geometries of supersymmetric black holes in a N = 2,D = 5 higher-derivative supergravity theory are classified. Depending on the choice of nearhorizon data we find that either there are no regular horizons, or horizons exist and the spatial cross-sections of the event horizons are conformal to a squashed or round S 3, S 1×S 2, or T 3. If the conformal factor is constant then the solutions are maximally supersymmetric. If the conformal factor is not constant, we find that it satisfies a non-linear vortex equation, and the horizon may admit scalar hair. © SISSA 2012.