Richard M. Schoen, Lecture III: Localizing solutions of the Einstein equations

Speaker: Richard M. Schoen, Distinguished Professor and Excellence in Teaching Endowed Chair University of California, Irvine

Lecture III: Localizing solutions of the Einstein equations
In general it is not possible to localize solutions of the Einstein equations since there are asymptotic conserved quantities such as the total mass which are nonzero for every nontrivial space-time. In this lecture we will describe recent work with A. Carlotto which achieves a localization in cones and leads to new constructions of non-interacting superpositions of solutions.