Evolution of cosmological models in the brane-world scenario
Antonio CamposRelativity and Cosmology Group, School of Computer Science and Mathematics, Portsmouth University, Portsmouth PO1 2EG, United KingdomCarlos F. SopuertaRelativity and Cosmology Group, School of Computer Science and Mathematics, Portsmouth University, Portsmouth PO1 2EG, United Kingdom
2001en
ABI
Abstract
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 behavior of the Friedmann-Lema\^{\i}tre-Robertson-Walker and the Bianchi type 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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Cited by 30 references