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

David Tegankong
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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.

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David Tegankong. 2005-01-20. Global existence and future asymptotic behaviour for solutions of the Einstein-Vlasov-scalar field system with surface symmetry. https://doi.org/10.1088/0264-9381%2F22%2F12%2F005

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