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Title: Area law unification and the holographic event horizon

Abstract

Here, we prove a new, large family of area laws in general relativity, which apply to certain classes of untrapped surfaces that we dub generalized holographic screens. Our family of area laws contains, as special cases, the area laws for marginally-trapped surfaces (holographic screens) and the event horizon (Hawking’s area theorem). In addition to these results in general relativity, we show that in the context of holography the geometry of a generalized holographic screen is related to the outer entropy of the screen. Specifically, we show for spherically-symmetric spacetimes that the area of the largest HRT surface consistent with the outer wedge can be computed in terms of the geometry of the general (not necessarily marginally-trapped) codimension-two surface defining the wedge. This outer entropy satisfies a second law of thermodynamics, growing monotonically along the generalized holographic screen. In particular, this result provides the holographic dual for the geometry of the event horizon for spherically-symmetric spacetimes.

Authors:
 [1];  [1]
  1. Univ. of California, Berkeley, CA (United States); Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
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:
1480791
Grant/Contract Number:  
[AC02-05CH11231]
Resource Type:
Accepted Manuscript
Journal Name:
Journal of High Energy Physics (Online)
Additional Journal Information:
[Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 8]; Journal ID: ISSN 1029-8479
Publisher:
Springer Berlin
Country of Publication:
United States
Language:
English
Subject:
79 ASTRONOMY AND ASTROPHYSICS; Classical Theories of Gravity; Black Holes; Gauge-gravity correspondence

Citation Formats

Nomura, Yasunori, and Remmen, Grant N. Area law unification and the holographic event horizon. United States: N. p., 2018. Web. doi:10.1007/JHEP08(2018)063.
Nomura, Yasunori, & Remmen, Grant N. Area law unification and the holographic event horizon. United States. doi:10.1007/JHEP08(2018)063.
Nomura, Yasunori, and Remmen, Grant N. Mon . "Area law unification and the holographic event horizon". United States. doi:10.1007/JHEP08(2018)063. https://www.osti.gov/servlets/purl/1480791.
@article{osti_1480791,
title = {Area law unification and the holographic event horizon},
author = {Nomura, Yasunori and Remmen, Grant N.},
abstractNote = {Here, we prove a new, large family of area laws in general relativity, which apply to certain classes of untrapped surfaces that we dub generalized holographic screens. Our family of area laws contains, as special cases, the area laws for marginally-trapped surfaces (holographic screens) and the event horizon (Hawking’s area theorem). In addition to these results in general relativity, we show that in the context of holography the geometry of a generalized holographic screen is related to the outer entropy of the screen. Specifically, we show for spherically-symmetric spacetimes that the area of the largest HRT surface consistent with the outer wedge can be computed in terms of the geometry of the general (not necessarily marginally-trapped) codimension-two surface defining the wedge. This outer entropy satisfies a second law of thermodynamics, growing monotonically along the generalized holographic screen. In particular, this result provides the holographic dual for the geometry of the event horizon for spherically-symmetric spacetimes.},
doi = {10.1007/JHEP08(2018)063},
journal = {Journal of High Energy Physics (Online)},
number = [8],
volume = [2018],
place = {United States},
year = {2018},
month = {8}
}

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