A fully anisotropic mechanism for formation of trapped surfaces in vacuum
成果类型：
Article
署名作者：
Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor
署名单位：
Princeton University; University of Pennsylvania; Massachusetts Institute of Technology (MIT)
刊物名称：
INVENTIONES MATHEMATICAE
ISSN/ISSBN：
0020-9910
DOI：
10.1007/s00222-013-0496-6
发表日期：
2014
页码：
1-26
关键词：
摘要：
We present a new, fully anisotropic, criterion for formation of trapped surfaces in vacuum. More precisely we provide local conditions on null data, concentrated in a neighborhood of a short null geodesic segment (possibly flat in all other directions) whose future development contains a trapped surface. This extends considerably the previous result of Christodoulou (Monographs in Mathematics. European Mathematical Society, Switzerland, 2009) which required instead a uniform condition along all null geodesic generators. To obtain our result we combine Christodoulou's mechanism for the formation of a trapped surface with a new deformation process which takes place along incoming null hypersurfaces.
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