Séminaire Analyse Numérique et EDP
Initial data for Minkowski stability with arbitrary decay
April 2024
Intervenant : Arthur Touati
Institution : Institut des Hautes Etudes Scientifiques (IHES)
Heure : 13h45 - 15h00
Lieu : 3L8

In this talk, I will present a construction of arbitrarily decaying initial data for the stability of Minkowski spacetime as solutions to the Einstein equations. Initial data on a spacelike hypersurface need to solve the so-called constraint equations, i.e a geometric nonlinear underdetermined elliptic system. I will show how one can parametrize solutions in a neighborhood of Minkowski spacetime and address linear obstructions coming from conservation laws in general relativity. This is a joint work with Allen Juntao Fang and Jérémie Szeftel.

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