Quadratic curvature corrections to 5-dimensional Kerr-AdS black hole thermodynamics by background subtraction method

TL;DR

This paper validates the background subtraction method for calculating thermodynamic properties of 5D Kerr-AdS black holes with quadratic curvature corrections, confirming its consistency with holographic renormalization results.

Contribution

It extends the background subtraction method to higher derivative gravity corrections in 5D AdS spacetimes and demonstrates its agreement with holographic renormalization.

Findings

Corrected ADM mass and angular momentum expressions derived.

First order corrected Gibbs free energy computed and matched with previous results.

Confirmed the applicability of background subtraction in higher derivative gravity.

Abstract

We justify the applicability of the background subtraction method to both Einstein's gravity and its higher derivative corrections in 5-dimensional asymptotically AdS spacetimes, where the corresponding higher derivative corrections to the expression for the ADM mass and angular momentum are also worked out. Then we further apply the background subtraction method to calculate the first order corrected Gibbs free energy by the quadratic curvature terms for the 5-dimensional Kerr-AdS black hole, which is in exact agreement with the previous result obtained by the holographic renormalization method. Such an agreement in turn substantiates the applicability of the background subtraction method.