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The second law of black hole mechanics in effective field theory

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arxiv 2205.15341 v3 pith:RWWTBGFM submitted 2022-05-30 hep-th gr-qc

classification hep-thgr-qc
keywords secondblackentropyholederivativeeffectivefieldhigher
verification ladder T0 review T1 audit T2 compute T3 formal
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We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations around a stationary black hole. We show that this can be extended to define an entropy that satisfies the second law to quadratic order in perturbations, provided that one treats the higher derivative terms in the sense of effective field theory. We also address some outstanding issues with Wall's method, in particular, its gauge invariance and its relation to the Iyer-Wald entropy.

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Cited by 8 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  8. Generalised focusing theorem and dynamical horizon entropy in diffeomorphism-invariant theories

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    A conference summary presenting the generalized focusing theorem and Wall entropy for diffeomorphism-invariant gravity theories, with a proposed condition for higher-spin fields.

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