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Analysis Seminar

Thursday, June 17, 2021
9:00am to 9:55am
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Online Event
The characteristic gluing problem of general relativity
Stefan Czimek, The Institute for Computational and Experimental Research in Mathematics, Brown University,

In this talk we introduce the characteristic gluing problem for the Einstein vacuum equations. We show that the geometric obstructions to characteristic gluing of spacetimes are coming from conservation laws along null hypersurfaces. We identify these conservation laws to be the conservation of energy, linear momentum, angular momentum and the equation of motion for the center of mass. Based on this identification, we explain how to characteristically glue a given spacetime to a suitably chosen Kerr spacetime. Moreover, we describe how our characteristic gluing method yields alternative proofs of the Corvino-Schoen gluing for spacelike initial data. This is joint work with S. Aretakis (Toronto) and I. Rodnianski (Princeton).

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].