ON EMERGING SCARRED SURFACES FOR THE EINSTEIN VACUUM EQUATIONS

被引：9

作者：

Klainerman, Sergiu ^{[1
]}

Rodnianski, Igor ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2010年 / 28卷 / 03期

关键词：

Einstein equations; trapped surface; black hole; vacuum; scarred surface; double null foliation; Ricci coefficients; null second fundamental form; expansion; energy estimates; characteristic;

D O I：

10.3934/dcds.2010.28.1007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We follow up our work [4] concerning the formation of trapped surfaces. We provide a considerable extension of our result there on pre-scared surfaces to allow for the formation of a surface with multiple pre-scared angular regions which, together, can cover an arbitrarily large portion of the surface. In a forthcoming paper we plan to show that once a significant part of the surface is pre-scared, it can be additionally deformed to produce a bona-fide trapped surface.

引用

页码：1007 / 1031

页数：25

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