Higher derivative corrections to Kerr-AdS black hole thermodynamics

Abstract

Instead of the much more involved covariant counterterm method, we apply the well justified background subtraction method to calculate the first order corrections to Kerr-AdS black hole thermodynamics induced by the higher derivative terms up to the cubic of Riemann tensor, where the computation is further simplified by the decomposition trick for the bulk action. The validity of our results is further substantiated by examining the corrections induced by the Gauss-Bonnet term. Moreover, by comparing our results with those obtained via the ADM and Wald formulas in Lorentzian signature, we can extract some generic information about the first order corrected black hole solution induced by each higher derivative term.

9 pages, no figure, clarifications made, typos corrected, version to appear in PRD

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Cited by in corpus (5)

• Black hole thermodynamics at 4 derivatives, natural variables and BPS limits
• Validity of the Background Subtraction Method for Black Hole Thermodynamics in Matter-Coupled Gravity Theories
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities
• Quantum gravitational corrections to Reissner-Nordström black hole thermodynamics and their implications for the weak gravity conjecture