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Late-time asymptotic dynamics of Bianchi VIII cosmologies

J. T. Horwood·M. J. Hancock·D. The·J. Wainwright
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Abstract

In this paper we give, for the first time, a complete description of the late-time evolution of non-tilted spatially homogeneous cosmologies of Bianchi type VIII. The source is assumed to be a perfect fluid with equation of state $p = (γ- 1)μ$, where $γ$ is a constant which satisfies $1 \leq γ\leq 2$. Using the orthonormal frame formalism and Hubble-normalized variables, we rigorously establish the limiting behaviour of the models at late times, and give asymptotic expansions for the key physical variables. The main result is that asymptotic self-similarity breaking occurs, and is accompanied by the phenomenon of `Weyl curvature dominance', characterized by the divergence of the Hubble-normalized Weyl curvature at late times.

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J. T. Horwood, M. J. Hancock, D. The, J. Wainwright. 2002-11-21. Late-time asymptotic dynamics of Bianchi VIII cosmologies. https://doi.org/10.1088/0264-9381%2F20%2F9%2F312

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