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Arthur Touati

Geometric optics approximation for the Einstein vacuum equations
Monday, 30 January, 2023 - 13:30
Résumé : 

In this talk I will present recent work on the rigorous justification of the geometric optics approximation for the Einstein vacuum equations, and its link with the Burnett conjecture in general relativity. I will start by presenting the initial value problem for the Einstein vacuum equations formulated in wave coordinates. Then I will give the state of the art on the Burnett conjecture, focusing on the approaches in U(1) symmetry and double null gauge. I will then present my main result and sketch its proof, highlighting the quasi- and semi-linear challenges. I will conclude my talk by discussing other quadratic wave equations.


Institution de l'orateur : 
Thème de recherche : 
Physique mathématique
Salle : 
1, Tour Irma
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