The extremalization approach to black hole thermodynamics extends to perturbations around known higher-derivative gravity backgrounds such as Einstein-Gauss-Bonnet, yielding first-order thermodynamic corrections in both flat and AdS spacetimes without explicit perturbed solutions.
First order corrections to black hole thermodynamics: A simple approach en- hanced,
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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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Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities
The extremalization approach to black hole thermodynamics extends to perturbations around known higher-derivative gravity backgrounds such as Einstein-Gauss-Bonnet, yielding first-order thermodynamic corrections in both flat and AdS spacetimes without explicit perturbed solutions.
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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.