The resolution of the bounded $L^2$ curvature conjecture in general relativity

Klainerman, Sergiu¹  ; Rodnianski, Igor¹  ; Szeftel, Jérémie² 

¹ Department of Mathematics Princeton University Princeton NJ 08544
² Laboratoire Jacques-Louis Lions Université Pierre et Marie Curie Paris 75005

Séminaire Laurent Schwartz — EDP et applications (2014-2015), Exposé no. 1, 18 p.

Résumé

This paper reports on the recent proof of the bounded $L^2$ curvature conjecture. More precisely we show that the time of existence of a classical solution to the Einstein-vacuum equations depends only on the $L^2$-norm of the curvature and a lower bound of the volume radius of the corresponding initial data set.

Détail

DOI : 10.5802/slsedp.65

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