The Area of Horizons and the Trapped Region
The Area of Horizons and the Trapped Region
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DOI：
10.1007/s00220-008-0723-y
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发表时间：
2009-09-01
影响因子：
2.4
通讯作者：
Metzger, Jan
中科院分区：
文献类型：
--
作者：
Andersson, Lars;Metzger, Jan
本文考虑了爱因斯坦方程柯西数据集中关于边际捕获面或视视界的一些基本问题。证明了最外边缘捕获表面的面积估计。证明利用的存在结果的边缘表面，在存在的障碍，曲率估计，连同一个新的外科手术边缘表面的建设。这些结果被应用到表征的陷阱区的边界。
This paper considers some fundamental questions concerning marginally trapped surfaces, or apparent horizons, in Cauchy data sets for the Einstein equation. An area estimate for outermost marginally trapped surfaces is proved. The proof makes use of an existence result for marginal surfaces, in the presence of barriers, curvature estimates, together with a novel surgery construction for marginal surfaces. These results are applied to characterize the boundary of the trapped region.