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A fully anisotropic mechanism for formation of trapped surfaces in vacuum

Author(s): Klainerman, Sergiu; Luk, Jonathan; Rodnianski, Igor

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Abstract: 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.
Publication Date: Oct-2014
Electronic Publication Date: 8-Jan-2014
Citation: Klainerman, Sergiu, Luk, Jonathan, Rodnianski, Igor. (2014). A fully anisotropic mechanism for formation of trapped surfaces in vacuum. INVENTIONES MATHEMATICAE, 198 (1 - 26. doi:10.1007/s00222-013-0496-6
DOI: doi:10.1007/s00222-013-0496-6
ISSN: 0020-9910
EISSN: 1432-1297
Pages: 1 - 26
Type of Material: Journal Article
Version: Author's manuscript

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