The resolution of the bounded <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>L</mml:mi> <mml:mn>2</mml:mn> </mml:msup></mml:math> curvature conjecture in general relativity

Sergiù Klainerman, Igor Rodnianski, Jérémie Szeftel

Type: Article

Publication Date: 2015-05-04

Citations: 0

DOI: https://doi.org/10.5802/slsedp.65

Abstract

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.

Locations

Séminaire Laurent Schwartz — EDP et applications - View - PDF

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