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We show how to solve the Cauchy problem for the Einstein-Vlasov equations with geometric initial data on a light-cone.
T. Damour and B. Schmidt, Reliability of perturbation theory in general relativity , Jour. Math. Phys. 31
1990
Earlier work this paper cites.
A.D. Rendall, Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations , Proc. Roy. Soc. London A 427
1990
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M. Dossa, Problèmes de Cauchy sur un conoïde caractéristique pour les équations d’Einstein (conformes) du vide et pour les équations de Yang-Mills-Higgs , Ann. H. Poincaré 4
2003
Earlier work this paper cites.
Y. Choquet-Bruhat, General relativity and the Einstein equations , Oxford Mathematical Monographs, Oxford University Press, Oxford, 2009
2009
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