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

Jos\'e M. Mart\'in-Garc\'ia; Piotr T. Chru\'sciel; Yvonne Choquet-Bruhat

arxiv: 1012.0777 · v1 · pith:ZEWG7IAJnew · submitted 2010-12-03 · 🌀 gr-qc

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. Chru\'sciel , Jos\'e M. Mart\'in-Garc\'ia This is my paper

classification 🌀 gr-qc

keywords analyticdataeinsteinequationslight-conevacuumarisingcauchy

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

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