A Non-Isotropic Mechanism for the Formation of Trapped Surfaces

Analysis Seminar
Topic:A Non-Isotropic Mechanism for the Formation of Trapped Surfaces
Speaker:Sergiu Klainerman
Affiliation:Princeton University
Date:Tuesday, April 30
Time/Room:3:00pm - 4:00pm/S-101

I present a new, fully anisotropic, criterion for formation of trapped surfaces in vacuum obtained in collaboration with J. Luk and I. Rodnianski. We provide conditions on null data, concentrated in a neighborhood of a short null geodesic segment (possibly flat everywhere else) whose future development contains a trapped surface. This extends considerably the previous result of Christodoulou 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.