Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields

Abstract

We investigate the thermodynamic properties of 3+1 dimensional black holes in asymptotically de Sitter spacetimes, conformally coupled to a real scalar field. We use a Euclidean action approach, where boundary value data is specified at a finite radius 'cavity' outside the black hole, working in the extended phase space where the cosmological constant is treated as a thermodynamic pressure. We examine the phase structure of these black holes through their free energy. For the MTZ subclass of solutions, we find Hawking-Page-like phase transitions from a black hole spacetime to thermal de Sitter with a scalar field. In the more general case, Hawking-Page-like phase transitions are also present, whose existence depends further on a particular cosmic censorship bound.

Thermodynamics of the Reissner–Nordström-de Sitter spacetime with quintessence

“…Therefore, we should pay more attention on the relation between the classical, quantum, and thermodynamic properties of dS spacetime. While there are merely works on the thermodynamic behavior of black holes in a dS spacetime [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58], the related thermodynamic properties of dS black holes will help us understand the relation between gravity and the conformal field theory. However, the investigation of the black hole thermodynamic proper-ties in a dS spacetime is a complicated problem, since the absence of an everywhere timelike Killing vector outside the black hole horizon leads to an unclear definition of asymptotic mass.…”

Thermodynamics of the Reissner-Nordström-de Sitter Spacetime with Quintessence

“…Therefore, we should pay more attention on the relation between the classical, quantum, and thermodynamic properties of dS spacetime. While there are merely works on the thermodynamic behavior of black holes in a dS spacetime [36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. The related thermodynamic properties of dS black holes will help us understand the relation between gravity and the conformal field theory.…”