Evolution of Cosmological Models in the Brane-world Scenario

Details Evolution of Cosmological Models in the Brane-world Scenario Evolution of Cosmological Models in the Brane-world Scenario

2001-01-10

arxiv.org/abs/hep-th/0101060v2

Phys.Rev. D63 (2001) 104012

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, Revtex v3.0, 16 postscript files. Minor changes to match the published version

Scientific paper

10.1103/PhysRevD.63.104012

In this work we consider Randall-Sundrum brane-world type scenarios, in which the spacetime is described by a five-dimensional manifold with matter fields confined in a domain wall or three-brane. We present the results of a systematic analysis, using dynamical systems techniques, of the qualitative behaviour of the Friedmann-Lemaitre-Robertson-Walker and the Bianchi I and V cosmological models in these scenarios. We construct the state spaces for these models and discuss how their structure changes with respect to the general-relativistic case, in particular, what new critical points appear and their nature, the occurrence of bifurcations and the dynamics of anisotropy.

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