Bianchi models with vorticity: The type III bifurcation

Abstract

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: $\rho /H^2\sim 1/\ln t$.

12 pages

References in corpus (10)

• The asymptotic regimes of tilted Bianchi II cosmologies
• A dynamical systems approach to the tilted Bianchi models of solvable type
• Future Asymptotic Behaviour of Tilted Bianchi models of type IV and VIIh
• The Future of Tilted Bianchi Universes
• Bianchi Cosmologies: A Tale of Two Tilted fluids
• The Futures of Bianchi type VII0 cosmologies with vorticity
• The Asymptotic Behaviour of Tilted Bianchi type VI${}_0$ Universes
• The late-time behaviour of vortic Bianchi type VIII Universes
• Late-time behaviour of the tilted Bianchi type VIh models
• Late-time behaviour of the tilted Bianchi type VI${}_{-1/9}$ models

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• Dynamics of a self-gravitating neutron source
• The late-time behaviour of tilted Bianchi type VIII universes in presence of diffusion
• Mixmaster Fluids Near the Big Bang