零无穷远处的角动量界
广义相对论与量子宇宙学
2016-09-08 v1
摘要
我们证明了一个不等式,该不等式关联了外曲率的迹、总角动量、质心以及一类具有常平均曲率并延伸至零无穷远的引力初值数据集的 Trautman-Bondi 质量。作为一个应用,我们获得了稳态时空中 CMC 超曲面的渐近 Dirichlet 问题的非存在性结果。
引用
@article{arxiv.0706.4057,
title = {An angular momentum bound at null infinity},
author = {Piotr T. Chruściel and Paul Tod},
journal= {arXiv preprint arXiv:0706.4057},
year = {2016}
}
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