Notes on thermodynamics of super-entropic AdS black holes

Abstract

The super-entropic black hole, which possesses a noncompact horizon topology and violates the reverse isoperimetric inequality, has been found to satisfy both the thermodynamic first law and the Bekenstein-Smarr mass formula. In this paper, we first derive a new Christodoulou-Ruffini-like squared-mass formula for the four-dimensional Kerr-Newman-AdS super-entropic black hole, and then establish a set of very simple relations between thermodynamic quantities of the super-entropic Kerr-Newman-AdS${}_4$ black hole and its usual counterparts. Using these relations, the thermodynamic quantities of the Kerr-Newman-AdS${}_4$ super-entropic black hole can be obtained from those of the usual pro-type by taking the ultra-spinning limit properly. Then these relations are extended to the singly-rotating Kerr-AdS black holes in arbitrary dimensions and the double-rotating charged black hole in the five-dimensional minimal gauged supergravity. It can be inferred that the thermodynamic quantities of all super-entropic black holes obey similar limiting relations to those of their corresponding conventional rotating AdS black holes, and thus can be obtained by taking the ultra-spinning limit appropriately.

14 pages; to appear in PRD

References in corpus (4)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Intriguing microstructures of five-dimensional neutral Gauss-Bonnet AdS black hole
• Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence

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• Superentropic AdS Black Hole Shadows
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• Light rings and shadows of static black holes in effective quantum gravity II: A new solution without Cauchy horizons
• Thermodynamic topological classes of the rotating, accelerating black holes
• Consistent mass formulas for higher even-dimensional Taub-NUT spacetimes and their AdS counterparts
• Light Deflection Angle by Superentropic Black Holes
• Chaos and fast scrambling delays of dyonic Kerr-Sen-AdS${}_4$ black hole and its ultra-spinning version
• Superentropic Black Hole Shadows in Arbitrary Dimensions
• Shadowless rapidly rotating yet not ultraspinning Kerr-AdS${}_4$ and Kerr-Newman-AdS${}_4$ black holes
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