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

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

2010-12-03

arxiv.org/abs/1012.0777v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

33 pages. Contribution to the proceedings of the "Petrov 2010 Anniversary Symposium on General Relativity and Gravitation", he

Scientific paper

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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