Annales Henri Poincaré

, Volume 8, Issue 7, pp 1221–1253 | Cite as

On Surface-Symmetric Spacetimes with Collisionless and Charged Matter

  • Sophonie Blaise TchapndaEmail author


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.


Vlasov Equation Maximal Solution Positive Cosmological Constant Dominant Energy Condition Maxwell System 
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Copyright information

© Birkhaueser 2007

Authors and Affiliations

  1. 1.Max Planck Institute for Gravitational PhysicsAlbert Einstein InstituteGolmGermany
  2. 2.Department of Mathematics, Faculty of Science University of Yaounde IYaoundeCameroon

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