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The holographic entropy increases in quadratic curvature gravity

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arxiv 1504.04706 v2 pith:DTWRNNI3 submitted 2015-04-18 gr-qc hep-th

classification gr-qchep-th
keywords entropygravityholographicblackcurvatureholequadraticstationary
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Standard methods for calculating the black hole entropy beyond general relativity are ambiguous when the horizon is non stationary. We fix these ambiguities in all quadratic curvature gravity theories, by demanding that the entropy be increasing at every time, for linear perturbations to a stationary black hole. Our result matches with the entropy formula found previously in holographic entanglement entropy calculations. We explicitly calculate the entropy increase for Vaidya-like solutions in Ricci-tensor gravity to show that (unlike the Wald entropy) the holographic entropy obeys a Second Law.

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Cited by 4 Pith papers

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