Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry

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dc.creatorTegankong, David
dc.creatorNoutchegueme, Norbert
dc.creatorRendall, Alan D.
dc.date2004-05-07
dc.date2004-10-26
dc.date.accessioned2026-07-07T03:28:40Z
dc.date.available2026-07-07T03:28:40Z
dc.descriptionWe prove in the cases of spherical, plane and hyperbolic symmetry a local in time existence theorem and continuation criteria for cosmological solutions of the Einstein-Vlasov-scalar field system, with the sources generated by a distribution function and a scalar field, subject to the Vlasov and wave equations respectively. This system describes the evolution of self-gravitating collisionless matter and scalar waves within the context of general relativity. In the case where the only source is a scalar field it is shown that a global existence result can be deduced from the general theorem.
dc.description33 pages, typos corrected, second conclusion of theorem 4.5 and remark 4.6 removed
dc.identifierhttps://arxiv.org/abs/gr-qc/0405039
dc.identifierhttp://arxiv.org/abs/gr-qc/0405039
dc.identifierJ.Hyperbol.Diff.Equat. 1 (2004) 691-724
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34922
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLocal existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry
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