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Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 2011, Volume 153, Book 3, Pages 115–138 (Mi uzku1061)  
An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data

Y. Choquet-Bruhata, P. T. Chruścielb, J. M. Martín-Garcíacd

a French Academy of Sciences, Paris, France
b University of Vienna, Vienna, Austria
c Paris Institute of Astrophysics, Paris, France
d Universe and Theories Laboratory, Meudon, France
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Abstract: A class of characteristic general relativistic initial data satisfying a near-roundness condition at the tip of a light-cone is introduced. It is shown that for any such analytic data there exists a corresponding solution of the vacuum Einstein equations defined in a future neighborhood of the vertex.
Keywords: characteristic Cauchy problem on a light-cone, vacuum Einstein equations.
Received: 28.11.2010
Document Type: Article
UDC: 530.12
Language: English
Citation: Y. Choquet-Bruhat, P. T. Chruściel, J. M. Martín-García, “An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data”, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, 153, no. 3, Kazan University, Kazan, 2011, 115–138
Citation in format AMSBIB
\Bibitem{ChoChrMar11}
\by Y.~Choquet-Bruhat, P.~T.~Chru\'sciel, J.~M.~Mart{\'\i}n-Garc{\'\i}a
\paper An existence theorem for the Cauchy problem on the light-cone for the vacuum Einstein equations with near-round analytic data
\serial Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
\yr 2011
\vol 153
\issue 3
\pages 115--138
\publ Kazan University
\publaddr Kazan
\mathnet{http://mi.mathnet.ru/uzku1061}
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