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

Mathematics

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

2 Scopus citations

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	English (US)
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

All Science Journal Classification (ASJC) codes

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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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.",

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KW - bilinear estimates

KW - null structure

KW - rough solutions

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