中文

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、CkC^k类(k2k\geq 2)时间对称类空超曲面必定与分叉球面相交。

关键词

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