Late-time asymptotic dynamics of Bianchi VIII cosmologies

Details Late-time asymptotic dynamics of Bianchi VIII cosmologies Late-time asymptotic dynamics of Bianchi VIII cosmologies

2002-10-10

arxiv.org/abs/gr-qc/0210031v2

Class.Quant.Grav. 20 (2003) 1757-1778

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 3 figures, submitted to Class. Quantum Grav.; updated references

Scientific paper

10.1088/0264-9381/20/9/312

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 $p = (\gamma - 1)\mu$, where $\gamma$ is a constant which satisfies $1 \leq \gamma \leq 2$. 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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