First order corrections to black hole thermodynamics: a simple approach enhanced

Abstract

The inclusion of higher derivative terms in the gravitational action brings about corrections to the original forms of black hole solutions and thermodynamics. A simple and valuable approach has emerged over two decades ago, which states that the first order corrections to black hole thermodynamics, caused by higher derivative terms, can be achieved without explicitly solving the perturbed metric. However, a direct application of this approach may potentially yield incorrect answers as it comes to AdS black holes, which poses a challenge to the valuable approach. In this paper, we identify the subtlety associated with AdS black holes is that certain higher derivative terms may alter the asymptotic structure of the spacetime. By taking this subtlety into account, we successfully enhance the original approach and resolve the mentioned problem. Furthermore, we make an interesting observation that the extremalization analysis that underlies this approach also plays a fundamental role in the perturbation theories of quantum mechanics and other disciplines.

8 pages, no figures

References in corpus (10)

• The Weak Gravity Conjecture: A Review
• Classification of Six Derivative Lagrangians of Gravity and Static Spherically Symmetric Solutions
• Extremal Kerr black holes as amplifiers of new physics
• On Euclidean and Noetherian Entropies in AdS Space
• Extended black hole thermodynamics from extended Iyer-Wald formalism
• Higher derivative contributions to black hole thermodynamics at NNLO
• The Surprising Effectiveness of Weyl Gravity in Probing Quantum Corrections to AdS Black Holes
• Higher derivative corrections to black brane thermodynamics and the weak gravity conjecture
• Improved Reall-Santos method for AdS black holes in general 4-derivative gravities
• On the first order corrections to the black hole thermodynamics in higher curvature theories of gravity

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• 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