Extremal Hairy Black Holes
arXiv:1408.7009 · doi:10.1007/JHEP11(2014)011
Abstract
We consider a gravitating system consisting of a scalar field minimally coupled to gravity with a self-interacting potential and an U(1) electromagnetic field. Solving the coupled Einstein-Maxwell-scalar system we find exact hairy charged black hole solutions with the scalar field regular everywhere. We go to the zero temperature limit and we study the effect of the scalar field on the near horizon geometry of an extremal black hole. We find that except a critical value of the charge of the black hole there is also a critical value of the charge of the scalar field beyond of which the extremal black hole is destabilized. We study the thermodynamics of these solutions and we find that if the space is flat then at low temperature the Reissner-Nordström black hole is thermodynamically preferred, while if the space is AdS the hairy charged black hole is thermodynamically preferred at low temperature.
17 pages. Match with the journal version accepted by JHEP. arXiv admin note: substantial text overlap with arXiv:1309.2161
References in corpus (9)
- Black Holes in Bi-scalar Extensions of Horndeski Theories
- A new spin on black hole hair
- Electrically charged black hole with scalar hair
- Charged C-metric with conformally coupled scalar field
- Quasi-normal Modes of Electromagnetic Perturbations of Four-Dimensional Topological Black Holes with Scalar Hair
- Static black hole solutions with a self interacting conformally coupled scalar field
- Phase transitions in charged topological black holes dressed with a scalar hair
- An Exact Hairy Black Hole Solution for AdS/CFT Superconductors
- Thermodynamics of AdS Black Holes in Einstein-Scalar Gravity