logo IMB
Retour

Séminaire de EDP - Physique Mathématique

Initial data for Minkowski stability with arbitrary decay

Arthur Touati

( IHES )

Salle de Conférences

le 12 décembre 2023 à 11:00

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.