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dc.contributor.author
Carlotto, Alessandro
dc.date.accessioned
2021-03-02T12:05:38Z
dc.date.available
2021-01-14T18:02:23Z
dc.date.available
2021-03-02T12:03:09Z
dc.date.available
2021-03-02T12:05:38Z
dc.date.issued
2021
dc.identifier.other
10.1007/s41114-020-00030-z
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/462781
dc.identifier.doi
10.3929/ethz-b-000462781
dc.description.abstract
We present the state-of-the-art concerning the relativistic constraints, which describe the geometry of hypersurfaces in a spacetime subject to the Einstein field equations. We review a variety of solvability results, the construction of several classes of solutions of special relevance and place results in the broader context of mathematical general relativity. Apart from providing an overview of the subject, this paper includes a selection of open questions, as well as a few complements to some significant contributions in the literature.
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.subject
Einstein constraints
en_US
dc.subject
Initial data sets
en_US
dc.subject
Conformal methods
en_US
dc.subject
Gluing schemes
en_US
dc.subject
Scalar curvature prescription and deformation problems
en_US
dc.title
The general relativistic constraint equations
en_US
dc.type
Review Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2021-02-24
ethz.journal.title
Living Reviews in Relativity
ethz.journal.volume
24
en_US
ethz.pages.start
2
en_US
ethz.size
170 p.
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.scopus
ethz.publication.place
Heidelberg
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09582 - Carlotto, Alessandro / Carlotto, Alessandro
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09582 - Carlotto, Alessandro / Carlotto, Alessandro
en_US
ethz.date.deposited
2021-01-14T18:02:33Z
ethz.source
FORM
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2021-03-02T12:03:18Z
ethz.rosetta.lastUpdated
2021-03-02T12:03:18Z
ethz.rosetta.exportRequired
true
ethz.rosetta.versionExported
true
ethz.COinS
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