An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data

Abstract

We prove that analytic initial data on a light cone arising from a metric satisfying a "near-roundness" condition near the vertex lead to a solution of the vacuum Einstein equations to the future of the light-cone.

33 pages. Contribution to the proceedings of the "Petrov 2010 Anniversary Symposium on General Relativity and Gravitation", held in Kazan, Nov 2010

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