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On the first order corrections to the black hole thermodynamics in higher curvature theories of gravity
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On the first order corrections to the black hole thermodynamics in higher curvature theories of gravity
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In modified theories of gravity, higher curvature terms may be added to the Einstein-Hilbert action. Conventionally, the effects of the higher curvature terms on the black hole thermodynamics are rather difficult to obtain. In this paper, we show that, at least at the first order level, the corrections to the thermodynamics of the Schwarzschild black hole can be easily obtained, without solving the modified black hole metric. We examine some specific examples, which produces the known results in the literature, as well as those previously unknown. Furthermore, we find some nonperturbative exact results by generalizing the first-order analysis. In particular, a novel relation between the Euclidean integrals of the Einstein--Hilbert term and the higher curvature terms is found and proved.
Forward citations
Cited by 3 Pith papers
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
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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 bo...
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Extremalization approach to black hole thermodynamics: perturbations around higher-derivative gravities
The Reall–Santos extremalization method is extended to perturbations around Einstein–Gauss–Bonnet backgrounds, reproducing known quasi-topological black-hole thermodynamics without solving the perturbed metric.
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