广义相对论约束方程

IF 26.3 2区物理与天体物理 Q1 PHYSICS, PARTICLES & FIELDS

Living Reviews in Relativity Pub Date : 2021-02-24 DOI:10.1007/s41114-020-00030-z

Alessandro Carlotto

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引用次数: 11

摘要

我们提出了有关相对论性约束的最新进展，这些约束描述了受爱因斯坦场方程约束的时空中超曲面的几何形状。我们回顾了各种可解性结果，几类特殊相关解的构造，并将结果置于数学广义相对论的更广泛背景下。除了提供主题的概述外，本文还包括一些开放问题的选择，以及对文献中一些重要贡献的一些补充。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The general relativistic constraint equations

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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来源期刊

Living Reviews in Relativity 物理-物理：粒子与场物理

CiteScore

69.90

自引率

0.70%

发文量

审稿时长

20 weeks

期刊介绍： Living Reviews in Relativity is a peer-reviewed, platinum open-access journal that publishes reviews of research across all areas of relativity. Directed towards the scientific community at or above the graduate-student level, articles are solicited from leading authorities and provide critical assessments of current research. They offer annotated insights into key literature and describe available resources, maintaining an up-to-date suite of high-quality reviews, thus embodying the "living" aspect of the journal's title. Serving as a valuable tool for the scientific community, Living Reviews in Relativity is often the first stop for researchers seeking information on current work in relativity. Written by experts, the reviews cite, explain, and assess the most relevant resources in a given field, evaluating existing work and suggesting areas for further research. Attracting readers from the entire relativity community, the journal is useful for graduate students conducting literature surveys, researchers seeking the latest results in unfamiliar fields, and lecturers in need of information and visual materials for presentations at all levels.