Y. Choquet-Bruhat

Title: Non linear stability of Einsteinian space times with U(1) isometry group, the general case

Abstract: We prove the existence of spacetimes satisfying the vacuum Einstein equations, which are future timelike and null complete in the expanding direction, and take U(1) invariant initial data on a 3 dimensional manifold, which is a U(1) bundle over a compact surface of genus G>1. These initial data are arbitrary (unpolarized), but sufficiently near in appropriate norms from a flat solution.

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The video begins with an introduction by P.T. Chrusciel; Y. Choquet-Bruhat's lecture starts after 5'40''.

Copyright 29.VIII.02 by P.T.Chrusciel, A.Chopin, and Y. Choquet-Bruhat