Coarse graining holographic black holes
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Publication:2315769
DOI10.1007/JHEP05(2019)160zbMATH Open1416.83049arXiv1806.01281OpenAlexW3099894259WikidataQ125678777 ScholiaQ125678777MaRDI QIDQ2315769
Author name not available (Why is that?)
Publication date: 25 July 2019
Published in: (Search for Journal in Brave)
Abstract: We expand our recent work on the outer entropy, a holographic coarse-grained entropy defined by maximizing the boundary entropy while fixing the classical bulk data outside some surface. When the surface is marginally trapped and satisfies certain "minimar" conditions, we prove that the outer entropy is exactly equal to a quarter the area (while for other classes of surfaces, the area gives an upper or lower bound). We explicitly construct the entropy-maximizing interior of a minimar surface, and show that it satisfies the appropriate junction conditions. This provides a statistical explanation for the area-increase law for spacelike holographic screens foliated by minimar surfaces. Our construction also provides an interpretation of the area for a class of non-minimal extremal surfaces. On the boundary side, we define an increasing simple entropy by maximizing the entropy subject to a set of "simple experiments" performed after some time. We show (to all orders in perturbation theory around equilibrium) that the simple entropy is the boundary dual to our bulk construction.
Full work available at URL: https://arxiv.org/abs/1806.01281
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