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No Chaos in Brane-World Cosmology

A. Coley
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Abstract

We discuss the asymptotic dynamical evolution of spatially homogeneous brane-world cosmological models close to the initial singularity. We find that generically the cosmological singularity is isotropic in Bianchi type IX brane-world models and consequently these models do not exhibit Mixmaster or chaotic-like behaviour close to the initial singularity. We argue that this is typical of more general cosmological models in the brane-world scenario. In particular, we show that an isotropic singularity is a past-attractor in all orthogonal Bianchi models and is a local past-attractor in a class of inhomogeneous brane-world models.

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A. Coley. 2002-02-15. No Chaos in Brane-World Cosmology. https://doi.org/10.1088/0264-9381%2F19%2F8%2F102

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