Exact asymptotically flat charged hairy black holes with a dilaton potential

Understand

We find broad classes of exact 4-dimensional asymptotically flat black hole solutions in Einstein-Maxwell theories with a non-minimally coupled dilaton and its non-trivial potential.

• We consider a few interesting limits, in particular, a regular generalization of the dilatonic Reissner-Nordstr{\"o}m solution and, also, smooth deformations of supersymmetric black holes.
• Further examples are provided for more general dilaton potentials.
• We discuss the thermodynamical properties and show that the first law is satisfied.