Blowup of Jang’s Equation at Outermost Marginally Trapped Surfaces
Blowup of Jang’s Equation at Outermost Marginally Trapped Surfaces
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Jang 方程在最外层边缘俘获面的放大
DOI：
10.1007/s00220-009-0934-x
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发表时间：
2007
影响因子：
2.4
通讯作者：
J. Metzger
中科院分区：
文献类型：
--
作者：
J. Metzger
本文的目的是精确描述Jang方程的爆破。首先，我们讨论如何构造在最外层MOTS处爆破的解。其次，我们排除了在具有非正平均曲率的数据集中存在额外的爆破曲面的可能性。然后，我们调查的收敛速度的爆破到一个严格稳定的MOTS附近的一个圆柱，并显示指数收敛与严格稳定的MOTS附近的一个可识别的速度。
The aim of this paper is to accurately describe the blowup of Jang’s equation. First, we discuss how to construct solutions that blow up at an outermost MOTS. Second, we exclude the possibility that there are extra blowup surfaces in data sets with non-positive mean curvature. Then we investigate the rate of convergence of the blowup to a cylinder near a strictly stable MOTS and show exponential convergence with an identifiable rate near a strictly stable MOTS.