D. Pollack

Title: Gluing solutions: conformal approach

Abstract: In this talk we outline recent progress, in joint work with Jim Isenberg and Rafe Mazzeo, in the development and applications of gluing constructions for the Einstein Constraint equations within the setting of the conformal method. We give a description of previous work for constant mean curvature slices (see gr-qc/0109045, to appear in Comm. Math. Physics) as well as a recent extension of these results to situations where the mean curvature is not necessarily constant (see gr-qc/0206034). Applications of the latter include showing that there are no obstructions to the topology of asymptotically flat vacuum solutions as well as the existence of vacuum spacetimes with no maximal Cauchy surfaces.

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Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and D.Pollack