Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
11 Pith papers cite this work, alongside 525 external citations. Polarity classification is still indexing.
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abstract
We obtain expressions for the mass and angular momenta of rotating black holes in anti-de Sitter backgrounds in four, five and higher dimensions. We verify explicitly that our expressions satisfy the first law of thermodynamics, thus allowing an unambiguous identification of the entropy of these black holes with $\ft14$ of the area. We find that the associated thermodynamic potential equals the background-subtracted Euclidean action multiplied by the temperature. Our expressions differ from many given in the literature. We find that in more than four dimensions, only our expressions satisfy the first law of thermodynamics. Moreover, in all dimensions we show that our expression for the mass coincides with that given by the conformal conserved charge introduced by Ashtekar, Magnon and Das. We indicate the relevance of these results to the AdS/CFT correspondence.
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The reverse isoperimetric conjecture is proven to be the fixed-volume form of a boundary-completed Noether-charge stability theorem.
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.
Background subtraction for black hole thermodynamics is valid and equivalent to Iyer-Wald in matter-coupled gravity theories, with smooth performance in examples but subtleties for certain matter fields.
Holographic calculation in a spinning Myers-Perry black brane shows that higher temperature or rotation parameter a shortens light-quark stopping distance and increases instantaneous energy loss, with stronger anisotropy for transverse motion.
Applies Parikh-Wilczek tunneling with backreaction to evaporating AdS black holes, finding luminosity deviates from blackbody scaling for small masses due to rapid mass loss, and computes renormalized energy-momentum tensor in Vaidya-AdS.
Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.
The Reall–Santos extremalization method is extended to perturbations around Einstein–Gauss–Bonnet backgrounds, reproducing known quasi-topological black-hole thermodynamics without solving the perturbed metric.
The complex saddles of the ABJM index are interpreted through instability of wrapped M5-branes in the dual gravity theory.
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
citing papers explorer
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CFTs on Squashed Spheres and the Thermal Effective Action
Derives universal quadratic response of 3D CFT free energy to S^3 squashing proportional to c_T and constructs thermal effective action for high-T Seifert manifolds with explicit Wilson coefficients.
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Reverse Isoperimetric Conjecture as a Noether-Charge Stability Theorem
The reverse isoperimetric conjecture is proven to be the fixed-volume form of a boundary-completed Noether-charge stability theorem.
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
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Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes
Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.
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Validity of the Background Subtraction Method for Black Hole Thermodynamics in Matter-Coupled Gravity Theories
Background subtraction for black hole thermodynamics is valid and equivalent to Iyer-Wald in matter-coupled gravity theories, with smooth performance in examples but subtleties for certain matter fields.
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Holographic light-quark energy loss in a spinning plasma
Holographic calculation in a spinning Myers-Perry black brane shows that higher temperature or rotation parameter a shortens light-quark stopping distance and increases instantaneous energy loss, with stronger anisotropy for transverse motion.
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Hawking atmosphere of anti-de Sitter black holes
Applies Parikh-Wilczek tunneling with backreaction to evaporating AdS black holes, finding luminosity deviates from blackbody scaling for small masses due to rapid mass loss, and computes renormalized energy-momentum tensor in Vaidya-AdS.
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Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics
Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.
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Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities
The Reall–Santos extremalization method is extended to perturbations around Einstein–Gauss–Bonnet backgrounds, reproducing known quasi-topological black-hole thermodynamics without solving the perturbed metric.
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A gravity interpretation for the complex Euclidean saddles of the ABJM index
The complex saddles of the ABJM index are interpreted through instability of wrapped M5-branes in the dual gravity theory.
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Black hole chemistry: thermodynamics with Lambda
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.