Thermodynamics of accelerating and supersymmetric AdS4 black holes

We study the thermodynamics of AdS4 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...

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Bibliographic Details
Published in:Physical review. D 2021-10, Vol.104 (8), p.1
Main Authors: Cassani, Davide, Gauntlett, Jerome P, Martelli, Dario, Sparks, James
Format: Article
Language:English
Subjects:
Black holes
Mathematical analysis
Supergravity
Supersymmetry
Thermodynamics
Online Access:Get full text
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Summary:We study the thermodynamics of AdS4 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 D = 11 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 nonextremal 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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.086005