Thermodynamics of accelerating and supersymmetric $Ad{S}_4$ black holes

Abstract

We study the thermodynamics of $Ad{S}_4$ 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 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.

47 pages. Very minor changes; published version

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Cited by in corpus (51)

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• Words to describe a black hole
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• D4-branes wrapped on a spindle
• Equivariant localization in supergravity
• M2-branes on Discs and Multi-Charged Spindles
• D3-branes and M5-branes wrapped on a topological disc
• A tale of (M)2 twists
• Entropy functions for accelerating black holes
• Factorization of log-corrections in AdS${}_4$/CFT${}_3$ from supergravity localization
• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Branes wrapped on orbifolds and their gravitational blocks
• D4-branes wrapped on four-dimensional orbifolds through consistent truncation
• Holographic duals of M5-branes on an irregularly punctured sphere
• Supersymmetric phases of AdS${}_4$/CFT${}_3$
• The Spindle Index from Localization
• Localization and Attraction
• Leigh-Strassler compactified on a spindle
• Solutions and basic properties of regularized Maxwell theory
• Signatures of the accelerating black holes with a cosmological constant from the ${\text{Sgr A}}^{\star }$ and ${\text{M87}}^{\star }$ shadow prospects
• Accelerating AdS black holes in gravity's rainbow
• Microstates of accelerating and supersymmetric AdS${}_4$ black holes from the spindle index
• Quasinormal Modes of C-metric from SCFTs
• Thermodynamics of accelerating AdS${}_4$ black holes from the covariant phase space
• Thermodynamic topological classes of the rotating, accelerating black holes
• Logarithmic Corrections, Entanglement Entropy, and UV Cutoffs in de Sitter Spacetime
• Localization of the free energy in supergravity
• Scalar quasi-normal modes of accelerating Kerr-Newman-AdS black holes
• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
• New family of C-metrics in $\mathcal{N}=2$ gauged supergravity
• M2-branes wrapped on a topological disk
• Magnetic charge and black hole supersymmetric quantum statistical relation
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity
• Thermodynamics of charged and accelerating black holes
• Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond
• Radiation in Fluid/Gravity and the Flat Limit
• NUTs, Bolts, and Spindles
• Holographic Generalised Gukov-Witten Defects
• Metallic transports from accelerating black holes
• The quasilocal energy and thermodynamic first law in accelerating AdS black holes
• Logarithmic Corrections to Thermodynamics of Accelerating Black Holes
• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• C-metric in a (nut)shell
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• Validity of black hole complementarity in an accelerating Schwarzschild black hole
• Wrapped $M5$-branes and complex saddle points
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• On Acceleration in Three Dimensions
• M5-branes wrapped on four-dimensional orbifolds