Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant

Details Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant Global existence and asymptotic behaviour in the future for the Einstein-Vlasov system with positive cosmological constant

2003-05-15

arxiv.org/abs/gr-qc/0305059v1

Class.Quant.Grav. 20 (2003) 3037-3049

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/20/14/306

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.

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