Global existence and future asymptotic behaviour for solutions of the Einstein-Vlasov-scalar field system with surface symmetry

Abstract

We prove in the cases of plane and hyperbolic symmetries a global in time existence result in the future for comological 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. The spacetime is future geodesically complete in the special case of plane symmetry with only a scalar field. Causal geodesics are also shown to be future complete for homogeneous solutions of the Einstein-Vlasov-scalar field system with plane and hyperbolic symmetry.

14 pages

References in corpus (5)

• Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry
• On the Einstein-Vlasov system with hyperbolic symmetry
• On future asymptotics of polarized Gowdy T^3-models
• On future geodesic completeness for the Einstein-Vlasov system with hyperbolic symmetry
• On the Nature of Singularities in Plane Symmetric Scalar Field Cosmologies

Cited by in corpus (5)

• The Einstein-Vlasov System/Kinetic Theory
• Inextendibility of expanding cosmological models with symmetry
• Nonminimal Einstein-Maxwell-Vlasov-axion model
• Strong cosmic censorship for solutions of the Einstein-Maxwell field equations with polarized Gowdy symmetry
• Future global non-linear stability of surface symmetric solutions of the Einstein-Vlasov system with a cosmological constant