Thermodynamically stable asymptotically flat hairy black holes with a dilaton potential
Dumitru Astefanesei (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil 2950, Valparaíso, Chile); David Choque (Universidad Adolfo Ibáñez, Departamento de Ciencias, Facultad de Artes Liberales, Av. Padre Hurtado 750, Viña del Mar, Chile, Universidad Nacional de San António Abad del Cusco, Av. La Cultura 733, Cusco, Peru); Francisco Gómez (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil 2950, Valparaíso, Chile); Raúl Rojas (Pontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil 2950, Valparaíso, Chile)
We present a detailed analysis of the thermodynamics of exact asymptotically flat hairy black holes in Einstein-Maxwell-dilaton theory. We compute the regularized action, quasilocal stress tensor, and conserved charges by using a ‘counterterm method’ similar to the one extensively used in the AdS-CFT duality. In the presence of a non-trivial dilaton potential that vanishes at the boundary we prove that, for some range of parameters, there exist thermodynamically stable black holes in the grand canonical and canonical ensembles. To the best of our knowledge, this is the first example of a thermodynamically stable asymptotically flat black hole, without imposing artificial conditions corresponding to embedding in a finite box.