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Comptes Rendus Mathématique
Volume 349, n° 19-20
pages 1053-1058 (novembre 2011)
Doi : 10.1016/j.crma.2011.08.018
Received : 23 June 2011 ;  accepted : 23 August 2011
Characteristic Cauchy problem for the Einstein equations with Vlasov and Scalar matters in arbitrary dimension
Problème de Cauchy caractéristique pour les équations dʼEinstein–Vlasov–Champ Scalaire en dimension quelconque

Jean Baptiste Patenou
Department of Mathematics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon 


We derive and solve on two null intersecting smooth hypersurfaces, a set of hierarchical constraints equations, suitable with the proof of an existence theorem for the Einstein equations with Vlasov and Scalar matters, in temporal gauge.

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On établit et résout sur la réunion de deux hypersurfaces caractéristiques régulières sécantes, un système hiérarchisé dʼéquations des contraintes compatibles avec la preuve dʼun théorème dʼexistence pour les équations dʼEinstein–Vlasov–Champ Scalaire en jauge temporelle.

The full text of this article is available in PDF format.

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