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dc.contributor.author
Wang, Jinzhao
dc.date.accessioned
2020-10-13T15:39:31Z
dc.date.available
2020-10-11T05:07:24Z
dc.date.available
2020-10-13T15:39:31Z
dc.date.issued
2020-09-28
dc.identifier.issn
1550-7998
dc.identifier.issn
0556-2821
dc.identifier.issn
1550-2368
dc.identifier.other
10.1103/PhysRevD.102.066009
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/445417
dc.identifier.doi
10.3929/ethz-b-000445417
dc.description.abstract
Entropy and energy are found to be closely tied on our quest for quantum gravity. We point out an interesting connection between the recently proposed outer entropy, a coarse-grained entropy defined for a compact spacetime domain motivated by the holographic duality, and the Bartnik-Bray quasilocal mass long known in the mathematics community. In both scenarios, one seeks an optimal spacetime fill-in of a given closed, connected, spacelike, codimension-two boundary. We show that for an outer-minimizing mean-convex surface, the Bartnik-Bray inner mass matches exactly with the irreducible mass corresponding to the outer entropy. The equivalence implies that the area laws derived from the outer entropy are mathematically equivalent as the monotonicity property of the quasilocal mass. It also gives rise to new bounds between entropy and the gravitational energy, which naturally gives the gravitational counterpart to Wall's ant conjecture. We also observe that the equality can be achieved in a conformal flow of metrics, which is structurally similar to the Ceyhan-Faulkner proof of the ant conjecture. We compute the small sphere limit of the outer entropy and it is proportional to the bulk stress tensor as one would expect for a quasilocal mass. Last, we discuss some implications of taking quantum matter into consideration in the semiclassical setting.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
American Physical Society
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Outer entropy equals Bartnik-Bray inner mass and the gravitational ant conjecture
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
ethz.journal.title
Physical Review D
ethz.journal.volume
102
en_US
ethz.journal.issue
6
en_US
ethz.journal.abbreviated
Phys. rev. D.
ethz.pages.start
066009
en_US
ethz.size
18 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
College Park, MD
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03781 - Renner, Renato / Renner, Renato
ethz.date.deposited
2020-10-11T05:07:29Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2020-10-13T15:39:44Z
ethz.rosetta.lastUpdated
2021-02-15T18:08:46Z
ethz.rosetta.versionExported
true
ethz.COinS
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