Late-time asymptotic dynamics of Bianchi VIII cosmologies
| Autor: | J T Horwood, M J Hancock, D The, J Wainwright |
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| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics FOS: Physical sciences Type viii Perfect fluid General Relativity and Quantum Cosmology (gr-qc) Orthonormal frame Limiting 16. Peace & justice Curvature 01 natural sciences General Relativity and Quantum Cosmology Asymptotic dynamics Formalism (philosophy of mathematics) Homogeneous 0103 physical sciences 010306 general physics Mathematical physics |
| Popis: | 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. Comment: 22 pages, 3 figures, submitted to Class. Quantum Grav.; updated references |
| Databáze: | OpenAIRE |
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