Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant
Preprint
Abstract
The behaviour of expanding cosmological models with collisionless matter and a positive cosmological constant is analysed. It is shown that under the assumption of plane or hyperbolic symmetry the area radius goes to infinity, the spacetimes are future geodesically complete, and the expansion becomes isotropic and exponential at late times. This proves a form of the cosmic no hair theorem in this class of spacetimes.Keywords
All Related Versions
- Version 1, 2003-05-15, ArXiv
- Published version: Classical and Quantum Gravity, 20 (14), 3037.
This publication has 8 references indexed in Scilit:
- Existence of CMC and Constant Areal Time Foliations inT2Symmetric Spacetimes with Vlasov MatterCommunications in Partial Differential Equations, 2005
- Global Foliations of Matter Spacetimes¶with Gowdy SymmetryCommunications in Mathematical Physics, 1999
- Nonlinear Stability of Homogeneous Models in Newtonian CosmologyArchive for Rational Mechanics and Analysis, 1997
- Existence of Constant Mean Curvature Foliations in Spacetimes with Two-Dimensional Local SymmetryCommunications in Mathematical Physics, 1997
- Cosmological solutions of the Vlasov-Einstein system with spherical, plane, and hyperbolic symmetryMathematical Proceedings of the Cambridge Philosophical Society, 1996
- Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetryClassical and Quantum Gravity, 1995
- The cosmic no-hair theorem and the non-linear stability of homogeneous Newtonian cosmological modelsClassical and Quantum Gravity, 1994
- Existence and structure of past asymptotically simple solutions of Einstein's field equations with positive cosmological constantJournal of Geometry and Physics, 1986