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

Sergiu Klainerman; Igor Rodnianski; Jeremie Szeftel

doi:10.1007/s00574-016-0161-y

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

Sergiu Klainerman, Igor Rodnianski, Jeremie Szeftel

Mathematics

Princeton University

Research output: Contribution to journal › Article › peer-review

Abstract

This paper reports on the recent proof of the bounded L²curvature conjecture. More precisely we show that the time of existence of a classical solution to the Einstein-vacuum equations depends only on the L²-norm of the curvature and a lower bound of the volume radius of the corresponding initial data set.

Original language	American English
Pages (from-to)	445-456
Number of pages	12
Journal	Bulletin of the Brazilian Mathematical Society
Volume	47
Issue number	2
DOIs	https://doi.org/10.1007/s00574-016-0161-y
State	Published - Jun 1 2016

ASJC Scopus subject areas

General Mathematics

Keywords

Cauchy problem
Einstein equations
bilinear estimates
null structure
rough solutions

Access to Document

10.1007/s00574-016-0161-y

Cite this

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