Thermodynamics of spinningAdS4black holes in gauged supergravity

Abstract

In this paper we study the thermodynamics of rotating black hole solutions arising from fourdimensional gauged N = 2 supergravity. We analyze two different supergravity models, characterized by prepotentials F = −iX 0 X 1 and F = −2i X 0 (X 1 ) 3 . The black hole configurations are supported by electromagnetic charges and scalar fields with different kinds of boundary conditions. We perform our analysis in the canonical ensemble, where we find a first order phase transition for a suitable range of charges and angular momentum. We perform the thermodynamic stability check on the configurations. Using the holographic dictionary we interpret the phase transition in terms of expectation values of operators in the dual field theory, which pertains to the class of ABJM theories living on a rotating Einstein universe. We extend the analysis to dyonic configurations as well. Lastly, we show the computation of the on shell action and mass via holographic renormalization techniques.

Rotating attractors and BPS black holes in AdS4

“…Hence the boundary metric in (5.37) is conformal to the standard boundary of four-dimensional AdS space. More details can be found for instance in [64,63,[65][66][67]. Note that the boundary data falls into the general class discussed in [68].…”

Thermodynamics of hairy black holes in Lovelock gravity

“…Despite the growing literature on the critical behaviour of AdS black holes, relatively little investigation has been carried out for theories coupled to scalar fields. Those cases which have been studied report van der Waals behaviour [55][56][57][58]. Previous studies of black hole thermodynamics within the conformal coupling model of Oliva and Ray have focused primarily on the case where the gravitational sector consists of only the Einstein-Hilbert term [9,10,59].…”

Black holes with halos

“…Moreover, its behavior resembles that of the isotherms for the Van der Waals system (liquid/gas -like phase transition). This is reminiscent of what happens for black holes solutions of Fayet-Iliopoulos gauged supergravity [72,73].…”