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Title: Boundary of the future of a surface

Abstract

We prove that the boundary of the future of a surface K consists precisely of the points p that lie on a null geodesic orthogonal to K such that between K and p there are no points conjugate to K nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.

Authors:
 [1];  [1];  [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)
OSTI Identifier:
1416867
Alternate Identifier(s):
OSTI ID: 1435104
Grant/Contract Number:
AC02-05CH11231
Resource Type:
Journal Article: Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 97; Journal Issue: 2; Related Information: © 2018 authors.; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Akers, Chris, Bousso, Raphael, Halpern, Illan F., and Remmen, Grant N. Boundary of the future of a surface. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.024018.
Akers, Chris, Bousso, Raphael, Halpern, Illan F., & Remmen, Grant N. Boundary of the future of a surface. United States. doi:10.1103/PhysRevD.97.024018.
Akers, Chris, Bousso, Raphael, Halpern, Illan F., and Remmen, Grant N. Fri . "Boundary of the future of a surface". United States. doi:10.1103/PhysRevD.97.024018.
@article{osti_1416867,
title = {Boundary of the future of a surface},
author = {Akers, Chris and Bousso, Raphael and Halpern, Illan F. and Remmen, Grant N.},
abstractNote = {We prove that the boundary of the future of a surface K consists precisely of the points p that lie on a null geodesic orthogonal to K such that between K and p there are no points conjugate to K nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.},
doi = {10.1103/PhysRevD.97.024018},
journal = {Physical Review D},
number = 2,
volume = 97,
place = {United States},
year = {Fri Jan 12 00:00:00 EST 2018},
month = {Fri Jan 12 00:00:00 EST 2018}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record at 10.1103/PhysRevD.97.024018

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