Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential: the general case

DUMITRU ASTEFANESEI, Jose Luis Blázquez-Salcedo, Francisco Gómez, Raúl Rojas

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Abstract

We extend the analysis, initiated in [1], of the thermodynamic stability of four-dimensional asymptotically flat hairy black holes by considering a general class of exact solutions in Einstein-Maxwell-dilaton theory with a non-trivial dilaton potential. We find that, regardless of the values of the parameters of the theory, there always exists a sub-class of hairy black holes that are thermodynamically stable and have the extremal limit well defined. This generic feature that makes the equilibrium configurations locally stable should be related to the properties of the dilaton potential that is decaying towards the spatial infinity, but behaves as a box close to the horizon. We prove that these thermodynamically stable solutions are also dynamically stable under spherically symmetric perturbations.

Original languageEnglish
Article number233
JournalJournal of High Energy Physics
Volume2021
Issue number2
DOIs
StatePublished - Feb 2021
Externally publishedYes

Keywords

  • Black Holes
  • Black Holes in String Theory

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