Blowup of Jang’s Equation at Outermost Marginally Trapped Surfaces

被引：0
|
作者：
Jan Metzger
机构：
[1] Albert-Einstein-Institut,
来源：
Communications in Mathematical Physics | 2010年 / 294卷
关键词：
Trap Surface; Principal Eigenvalue; Dominant Energy Condition; Positive Mass Theorem; Trapping Horizon;
D O I：
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中图分类号：
学科分类号：
摘要：
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.
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页码：61 / 72
页数：11
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