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THE EXISTENCE THEOREM FOR THE GENERAL RELATIVISTIC CAUCHY PROBLEM ON THE LIGHT-CONE

Part of: General relativity

Published online by Cambridge University Press:  22 May 2014

PIOTR T. CHRUŚCIEL
PIOTR T. CHRUŚCIEL*
Affiliation:
I.H.É.S., Bures sur Yvette, France University of Vienna, Austria; piotr.chrusciel@univie.ac.at

Abstract

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We prove existence of solutions of the vacuum Einstein equations with initial data induced by a smooth metric on a light-cone.

MSC classification

Secondary: 83C05: Einstein's equations (general structure, canonical formalism, Cauchy problems)
Type
Research Article
Information
Forum of Mathematics, Sigma , Volume 2 , 01 July 2014 , e10
Creative Commons
Creative Common License - CCCreative Common License - BY
The online version of this article is published within an Open Access environment subject to the conditions of the Creative Commons Attribution licence .
Copyright
© The Author 2014

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