Exact asymptotically flat charged hairy black holes with a dilaton potential

Andrés Anabalón, Dumitru Astefanesei, Robert Mann

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57 Scopus citations


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 nontrivial potential. We consider a few interesting limits, in particular, a regular generalization of the dilatonic Reissner-Nordström 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. In the non-extremal case the entropy depends, as expected, on the asymptotic value of the dilaton. In the extremal limit, the entropy is determined purely in terms of charges and is independent of the asymptotic value of the dilaton. The attractor mechanism can be used as a criterion for the existence of the regular solutions. Since there is a 'competition' between the effective potential and dilaton potential, we also obtain regular extremal black hole solutions with just one U(1) gauge field turned on.

Original languageEnglish
Article number184
JournalJournal of High Energy Physics
Issue number10
StatePublished - Oct 2013


  • Black holes
  • Classical theories of gravity


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