Simple Dynamics on the Brane

Details Simple Dynamics on the Brane Simple Dynamics on the Brane

2002-01-10

arxiv.org/abs/hep-th/0201066v3

Phys.Rev. D66 (2002) 064003

Physics

High Energy Physics

High Energy Physics - Theory

an improved version, 34 pages, 9 eps figures

Scientific paper

10.1103/PhysRevD.66.064003

We apply methods of dynamical systems to study the behaviour of the Randall-Sundrum models. We determine evolutionary paths for all possible initial conditions in a 2-dimensional phase space and we investigate the set of accelerated models. The simplicity of our formulation in comparison to some earlier studies is expressed in the following: our dynamical system is a 2-dimensional Hamiltonian system, and what is more advantageous, it is free from the degeneracy of critical points so that the system is structurally stable. The phase plane analysis of Randall-Sundrum models with isotropic Friedmann geometry clearly shows that qualitatively we deal with the same types of evolution as in general relativity, although quantitatively there are important differences.

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