Global dynamics of a relativistic charged plasma in a Bianchi type I space-time

DOI10.1016/J.NA.2009.04.010zbMath1176.83045OpenAlexW2093642576MaRDI QIDQ732558

Cyril Joel Batkam, Norbert Noutchegueme

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.010

zbMATH Keywords

asymptotic behaviorlocal existenceglobal existencemean curvatureconstraintsdifferential system

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Exact solutions to problems in general relativity and gravitational theory (83C15) Approximation procedures, weak fields in general relativity and gravitational theory (83C25)

Cites Work

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• Global existence of solutions for the Einstein-Boltzmann system with cosmological constant in the Robertson-Walker space-time
• Global existence of solutions to the Einstein equations with cosmological constant for a perfect relativistic fluid on a Blanchi type-I space-time
• Global solutions to the Einstein equations with cosmological constant on the Friedman-Robertson-Walker space times with plane, hyperbolic, and spherical symmetries
• The surface-symmetric Einstein–Vlasov system with cosmological constant
• Asymptotic behaviour of the Einstein–Vlasov system with a positive cosmological constant
• Global existence of solutions for the Einstein–Boltzmann system in a Bianchi type I spacetime for arbitrarily large initial data
• The Large Scale Structure of Space-Time

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