On surface-symmetric spacetimes with collisionless and charged matter

Tchapnda, Sophonie Blaise

doi:10.1007/s00023-007-0333-9

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On surface-symmetric spacetimes with collisionless and charged matter

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Tchapnda, Sophonie Blaise
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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0607140.pdf
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Citation

Tchapnda, S. B. (2007). On surface-symmetric spacetimes with collisionless and charged matter. Annales Henri Poincare, 8(7), 1221-1253. doi:10.1007/s00023-007-0333-9.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-48BC-7

Abstract

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, 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.