
Open access
Author
Date
2021Type
- Review Article
ETH Bibliography
yes
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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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000462781Publication status
publishedExternal links
Journal / series
Living Reviews in RelativityVolume
Pages / Article No.
Publisher
SpringerSubject
Einstein constraints; Initial data sets; Conformal methods; Gluing schemes; Scalar curvature prescription and deformation problemsOrganisational unit
09582 - Carlotto, Alessandro (ehemalig) / Carlotto, Alessandro (former)
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ETH Bibliography
yes
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