论巴特尼克边界数据的质量最小化扩展

IF 0.7 4区数学 Q2 MATHEMATICS

Communications in Analysis and Geometry Pub Date : 2024-07-24 DOI:10.4310/cag.2023.v31.n6.a2

An,Zhongshan

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引用次数: 0

摘要

我们证明，求解约束方程并具有固定巴特尼克边界数据的初始数据集空间是一个巴拿赫流形。此外，如果这个约束流形上的一个初始数据集是 ADM 总质量的临界点，那么它必然包含一个广义的基林向量场，该向量场与 ADM 的能量-动量向量近似地成正比。

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On mass-minimizing extensions of Bartnik boundary data

We prove that the space of initial data sets which solve the constraint equations and have fixed Bartnik boundary data is a Banach manifold. Moreover if an initial data set on this constraint manifold is a critical point of the ADM total mass, then it must admit a generalised Killing vector field which is asymptotically proportional to the ADM energy-momentum vector.

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来源期刊

Communications in Analysis and Geometry 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Publishes high-quality papers on subjects related to classical analysis, partial differential equations, algebraic geometry, differential geometry, and topology.