Journal
PHYSICAL REVIEW D
Volume 99, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.99.046002
Keywords
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Funding
- Department of Energy, Office of Science, Office of High Energy Physics [DE-AC02-05CH11231, DE-SC0019380]
- National Science Foundation [PHY-1521446]
- MEXT KAKENHI [15H05895]
- Miller Institute for Basic Research in Science at the University of California, Berkeley
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We define the coarse-grained entropy of a normal surface sigma, i.e., a surface that is neither trapped nor antitrapped. Following Engelhardt and Wall, the entropy is defined in terms of the area of an auxiliary extremal surface. This area is maximized over all auxiliary geometries that can be constructed in the interior of sigma, while holding fixed the spatial exterior (the outer wedge). We argue that the area is maximized when the stress tensor in the auxiliary geometry vanishes, and we develop a formalism for computing it under this assumption. The coarse-grained entropy can be interpreted as a quasilocal energy of sigma. This energy possesses desirable properties such as positivity and monotonicity, which derive directly from its information-theoretic definition.
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