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.

Details

Title
The general relativistic constraint equations
Author
Carlotto, Alessandro 1   VIAFID ORCID Logo 

1  ETH Zürich, Zurich, Switzerland (GRID:grid.5801.c) (ISNI:0000 0001 2156 2780) 
Pages
2
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
23673613
e-ISSN
14338351
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/s41114-020-00030-z
ProQuest document ID
2492787191
Copyright
© The Author(s) 2021. corrected publication 2022 and 2024. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.