# The Bounded L2 Curvature Conjecture

@article{Klainerman2012TheBL,
title={The Bounded L2 Curvature Conjecture},
author={S. Klainerman and I. Rodnianski and J. Szeftel},
journal={arXiv: Analysis of PDEs},
year={2012}
}
• Published 2012
• Mathematics, Physics
• arXiv: Analysis of PDEs
This is the main paper in a sequence in which we give a complete 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 on the volume radius of the corresponding initial data set. We note that though the result is not optimal with respect to the standard scaling of the Einstein equations, it is nevertheless critical with respect… Expand
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