No Chaos in Brane-World Cosmology

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Updated Refs. Final version to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/19/8/102

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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