关于Schwarzschild几何中时间对称超曲面的注记
广义相对论与量子宇宙学
2010-11-13 v2
摘要
在本注记中,我们证明,任何等距嵌入到最大Schwarzschild几何中的不可延拓的、类()时间对称类空超曲面必定与分叉球面相交。
引用
@article{arxiv.1008.3841,
title = {A note on time-symmetric hypersurfaces in the Schwarzschild geometry},
author = {Alfonso García-Parrado Gómez-Lobo},
journal= {arXiv preprint arXiv:1008.3841},
year = {2010}
}
备注
Proof of corollary 2 extended to include hypersurfaces with null regions. Some additional considerations in section 4 dealing with hypersurfaces of arbitrary causal character added. References added, To appear in classical and quantum gravity