A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data

被引：0

作者：

Juan Antonio Valiente Kroon

机构：

[1] University of London,School of Mathematical Sciences, Queen Mary

来源：

Communications in Mathematical Physics | 2010年 / 298卷

关键词：

Conformal Factor; Logarithmic Singularity; Conformal Boundary; Rigidity Property; Weyl Connection;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Given a time symmetric initial data set for the vacuum Einstein field equations which is conformally flat, it is shown that the solutions to the regular finite initial value problem at spatial infinity extend smoothly through the critical sets where null infinity touches spatial infinity if and only if the initial data coincides with Schwarzschild data.

引用

页码：673 / 706

页数：33

共 10 条

[1] A Rigidity Property of Asymptotically Simple Spacetimes Arising from Conformally Flat Data
Kroon, Juan Antonio Valiente
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2010, 298 (03) : 673 - 706
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[9] Asymptotically flat vacuum initial data sets from a modified parabolic-hyperbolic formulation of the Einstein vacuum constraint equations
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[10] SIMPLE SOLUTION TO A PROBLEM ARISING FROM THE PROCESSING OF FINITE ACCURACY DIGITAL DATA USING INTEGER ARITHMETIC
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