The general relativistic constraint equations

被引：18
作者：
Carlotto, Alessandro [1 ]
机构：
[1] Swiss Fed Inst Technol, Ramistr 101, CH-8092 Zurich, Switzerland
来源：
LIVING REVIEWS IN RELATIVITY | 2021年 / 24卷 / 01期
关键词：
Einstein constraints; Initial data sets; Conformal methods; Gluing schemes; Scalar curvature prescription and deformation problems;
D O I：
10.1007/s41114-020-00030-z
中图分类号：
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号：
摘要：
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.
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页数：170
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