Bianchi models with vorticity: The type III bifurcation

Details Bianchi models with vorticity: The type III bifurcation Bianchi models with vorticity: The type III bifurcation

2008-02-25

arxiv.org/abs/0802.3629v1

Class. Quantum Grav. 25 (2008) 198001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

10.1088/0264-9381/25/19/198001

We study the late-time behaviour of tilted perfect fluid Bianchi type III models using a dynamical systems approach. We consider models with dust, and perfect fluids stiffer than dust, and eludicate the late-time behaviour by studying the centre manifold which dominates the behaviour of the model at late times. In the dust case, this centre manifold is 3-dimensional and can be considered as a double bifurcation as the 2 parameters ($h$ and $\gamma$) of the type VI$_h$ model are varied. We calculate the decay rates and show that for dust or stiffer the models approach a vacuum spacetime, however, it does so rather slowly: $\rho/H^2\sim 1/\ln t$.

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