Characteristic Cauchy problem for the Einstein equations with Vlasov and scalar matters in arbitrary dimension

DOI10.1016/j.crma.2011.08.018zbMath1226.53010OpenAlexW1968643355MaRDI QIDQ643614

Jean Baptiste Patenou

Publication date: 2 November 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.08.018

zbMATH Keywords

Cauchy problemrest massEinstein-Vlasov-scalar field equations

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75) Local differential geometry of Lorentz metrics, indefinite metrics (53B30) Methods of local Riemannian geometry (53B21)

Related Items (3)

On the evolution problem for the Einstein-Vlasov system ⋮ Cauchy problem on a characteristic cone for the Einstein-Vlasov system. I: The initial data constraints ⋮ Characteristic Cauchy problem on the light cone for the Einstein–Vlasov system in temporal gauge

Cites Work

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• The evolution problem in general relativity
• Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
• Reduction of the characteristic initial value problem to the Cauchy problem and its applications to the Einstein equations
• GLOBAL CHARACTERISTIC PROBLEM FOR EINSTEIN VACUUM EQUATIONS WITH SMALL INITIAL DATA: (I) THE INITIAL DATA CONSTRAINTS
• STRONGLY HYPERBOLIC SYSTEMS IN GENERAL RELATIVITY

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