Simple Dynamics on the Brane
摘要
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.
引用
@article{arxiv.hep-th/0201066,
title = {Simple Dynamics on the Brane},
author = {Marek Szydlowski and Mariusz P. Dabrowski and Adam Krawiec},
journal= {arXiv preprint arXiv:hep-th/0201066},
year = {2009}
}
备注
an improved version, 34 pages, 9 eps figures