Higher derivative corrections to Kerr-AdS black hole thermodynamics

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.

💡 Research Summary

The paper investigates the first‑order thermodynamic corrections to a four‑dimensional Kerr‑AdS black hole when higher‑derivative terms up to cubic order in the Riemann tensor are added to the Einstein–Hilbert action. The authors deliberately avoid the covariant counterterm method, which requires a complicated set of boundary terms, and instead employ the background subtraction method. Recent work (reference