Horizons of charged dilatonic (anti-)de sitter black holes

Abstract

We summarize our results on the presence and location of horizons in charged black hole solutions of Einstein–Maxwell-dilaton theory with nontrivial dilaton potentials, asymptotically flat or (anti-)de Sitter, as function of the black hole parameters mass, charge and dilaton coupling strength. We observe that there is a value of latter which separates two regions, one where the black hole is Reissner–Nordström-like from a region where it is Schwarzschild-like. We find that for de Sitter and small nonvanishing of the dilaton coupling parameter, the extremal case is not reached by the solution. We also discuss the attractive or repulsive nature of the leading long distance interaction between two such black holes, or a test particle and one black hole, from a worldline effective field theory point of view.