On Surface-Symmetric Spacetimes with Collisionless and Charged Matter
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Some future global properties of cosmological solutions for the Einstein–Vlasov–Maxwell system with surface symmetry are presented. Global existence is proved, the homogeneous spacetimes are future complete for causal trajectories, and the same is true for inhomogeneous plane-symmetric solutions with small initial data. In the latter case some decay properties are also obtained at late times. Similar but slightly weaker results hold for hyperbolic symmetry.
KeywordsVlasov Equation Maximal Solution Positive Cosmological Constant Dominant Energy Condition Maxwell System
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