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Title: Outer Entropy and Quasilocal Energy

Abstract

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 $$\sigma$$. As a result, this energy possesses desirable properties such as positivity and monotonicity, which derive directly from its information-theoretic definition.

Authors:
 [1];  [2];  [1]
  1. Univ. of California, Berkeley, CA (United States)
  2. Univ. of California, Berkeley, CA (United States); The Univ. of Tokyo, Chiba (Japan)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1493649
Alternate Identifier(s):
OSTI ID: 1494116
Grant/Contract Number:  
AC02-05CH11231; SC0019380
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 99; Journal Issue: 4; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

Bousso, Raphael, Nomura, Yasunori, and Remmen, Grant N. Outer Entropy and Quasilocal Energy. United States: N. p., 2019. Web. doi:10.1103/PhysRevD.99.046002.
Bousso, Raphael, Nomura, Yasunori, & Remmen, Grant N. Outer Entropy and Quasilocal Energy. United States. doi:10.1103/PhysRevD.99.046002.
Bousso, Raphael, Nomura, Yasunori, and Remmen, Grant N. Wed . "Outer Entropy and Quasilocal Energy". United States. doi:10.1103/PhysRevD.99.046002.
@article{osti_1493649,
title = {Outer Entropy and Quasilocal Energy},
author = {Bousso, Raphael and Nomura, Yasunori and Remmen, Grant N.},
abstractNote = {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 $\sigma$. As a result, this energy possesses desirable properties such as positivity and monotonicity, which derive directly from its information-theoretic definition.},
doi = {10.1103/PhysRevD.99.046002},
journal = {Physical Review D},
number = 4,
volume = 99,
place = {United States},
year = {2019},
month = {2}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.99.046002

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Cited by: 1 work
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