Abstract
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.
Highlights
The thermodynamic character of gravity becomes apparent in the context of black hole physics
It is important to understand generic properties of gravity theories coupled to scalars, the role played by the scalars to black hole physics
We have considered thermodynamic properties of a family of exact asymptotically flat hairy black holes, with the goal of shedding light on their thermodynamic stability
Summary
The thermodynamic character of gravity becomes apparent in the context of black hole physics. Even in flat spacetime, one can obtain a regularized quasilocal stress tensor [28] and the method was successfully applied to study the thermodynamics of spinning black holes and black rings (obtaining the correct first law including the dipole charge of [29]). This was an important hint that, the counterterm method is suitable for flat spacetimes and, no longer after, a general covariant method was proposed in [30].
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