The Asymptotic Behaviour of Tilted Bianchi type VI${}_0$ Universes

Abstract

We study the asymptotic behaviour of the Bianchi type VI${}_0$ universes with a tilted $\gamma$-law perfect fluid. The late-time attractors are found for the full 7-dimensional state space and for several interesting invariant subspaces. In particular, it is found that for the particular value of the equation of state parameter, $\gamma =6/5$, there exists a bifurcation line which signals a transition of stability between a non-tilted equilibrium point to an extremely tilted equilibrium point. The initial singular regime is also discussed and we argue that the initial behaviour is chaotic for $\gamma <2$.

22 pages, 4 figures, to appear in CQG

References in corpus (4)

• Asymptotic dynamics of the exceptional Bianchi cosmologies
• The Weyl tensor in Spatially Homogeneous Cosmological Models
• The Future of Tilted Bianchi Universes
• Late-time asymptotic dynamics of Bianchi VIII cosmologies

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