Late-time behaviour of the tilted Bianchi type VI${}_{-1/9}$ models

Abstract

We study tilted perfect fluid cosmological models with a constant equation of state parameter in spatially homogeneous models of Bianchi type VI${}_{-1/9}$ using dynamical systems methods and numerical simulations. We study models with and without vorticity, with an emphasis on their future asymptotic evolution. We show that for models with vorticity there exists, in a small region of parameter space, a closed curve acting as the attractor.

13 pages, 1 figure, v2: typos fixed, minor changes, matches published version

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• Spatially-Homogeneous Cosmologies
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• Collins in Wonderland
• Approaching Wonderland
• Mixmaster Fluids Near the Big Bang