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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

The second law of black hole mechanics in effective field theory

classification hep-th gr-qc
keywords secondblackentropyholederivativeeffectivefieldhigher
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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