稳定边缘俘获面的曲率估计
广义相对论与量子宇宙学
2007-05-23 v2 微分几何
摘要
我们推导了切片时空中稳定边缘外俘获面的曲率的积分和上确界估计。这些估计用包含该面的切片的固有曲率和外在曲率来限制边缘外俘获面的剪切。这些估计非常适用于物理上有趣的情况，例如动力学视界。
引用
@article{arxiv.gr-qc/0512106,
title = {Curvature estimates for stable marginally trapped surfaces},
author = {Lars Andersson and Jan Metzger},
journal= {arXiv preprint arXiv:gr-qc/0512106},
year = {2007}
}
备注
28 pages. This is a major rework of the previous version. It extends the curvature estimates to no longer require global area bounds. In addition some mistakes were corrected