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arXiv · 1012.0777

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

Yvonne Choquet-Bruhat·Piotr T. Chruściel·José M. Martín-García
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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.

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Yvonne Choquet-Bruhat, Piotr T. Chruściel, José M. Martín-García. 2010-12-03. An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data. https://arxiv.org/abs/1012.0777

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