On the Cylindrically Symmetric Einstein–Vlasov System

DOI10.1080/03605300500455925zbMath1103.35062arXivgr-qc/0503098OpenAlexW2071160799MaRDI QIDQ5491399

Mikael Fjällborg

Publication date: 11 October 2006

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0503098

zbMATH Keywords

singularitiesEinstein-Vlasov systemSobolev methodslight cone estimate

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Space-time singularities, cosmic censorship, etc. (83C75) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) PDEs in connection with relativity and gravitational theory (35Q75) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (2)

On the evolution problem for the Einstein-Vlasov system ⋮ The Einstein-Vlasov system/kinetic theory

Cites Work

• Global classical solutions of the Vlasov-Poisson system in three dimensions for general initial data
• Global existence of solutions of the spherically symmetric Vlasov- Einstein system with small initial data
• On the asymptotic behavior of spherically symmetric wave maps
• A regularity theorem for solutions of the spherically symmetric Vlasov- Einstein system
• Erratum: Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data
• Problème de Cauchy pour le système intégro-différentiel d'Einstein-Liouville. (Cauchy problem for the Einstein-Liouville integro-differential system)
• On the regularity of spherically symmetric wave maps
• Remarks on the global sobolev inequalities in the minkowski space Rⁿ⁺¹
• General Relativity

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