Thermodynamics of accelerating and supersymmetric $AdS_4$ black holes
Abstract
We study the thermodynamics of black hole solutions of Einstein-Maxwell theory that are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for which the black hole horizon is a spindle and can be uplifted on regular Sasaki-Einstein spaces to give solutions of supergravity that are free from conical singularities. We use holography to calculate the Euclidean on-shell action and to define a set of conserved charges which give rise to a first law. We identify a complex locus of supersymmetric and non-extremal solutions, defined through an analytic continuation of the parameters, upon which we obtain a simple expression for the on-shell action. A Legendre transform of this action combined with a reality constraint then leads to the Bekenstein-Hawking entropy for the class of supersymmetric and extremal black holes.
Keywords
Cite
@article{arxiv.2106.05571,
title = {Thermodynamics of accelerating and supersymmetric $AdS_4$ black holes},
author = {Davide Cassani and Jerome P. Gauntlett and Dario Martelli and James Sparks},
journal= {arXiv preprint arXiv:2106.05571},
year = {2021}
}
Comments
47 pages. Very minor changes; published version