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

Author(s)
Yvonne Choquet-Bruhat, Piotr T. Chrusciel, José M. Martin-Garcia
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.

Organisation(s)
Gravitational Physics
External organisation(s)
Académie des Sciences, Université de recherche Paris Sciences et Lettres
Publication date
2010
Austrian Fields of Science 2012
103036 Theoretical physics, 103019 Mathematical physics
Portal url
https://ucrisportal.univie.ac.at/en/publications/8eb8cce9-0ff0-49d7-b9d2-786165d75cef