Certain aspects of regularity in scalar field cosmological dynamics
General Relativity and Quantum Cosmology
2009-11-13 v3 Chaotic Dynamics
Abstract
We consider dynamics of the FRW Universe with a scalar field. Using Maupertuis principle we find a curvature of geodesics flow and show that zones of positive curvature exist for all considered types of scalar field potential. Usually, phase space of systems with the positive curvature contains islands of regular motion. We find these islands numerically for shallow scalar field potentials. It is shown also that beyond the physical domain the islands of regularity exist for quadratic potentials as well.
Keywords
Cite
@article{arxiv.0705.4036,
title = {Certain aspects of regularity in scalar field cosmological dynamics},
author = {A. Toporensky and P. Tretyakov},
journal= {arXiv preprint arXiv:0705.4036},
year = {2009}
}
Comments
15 pages with 4 figures; typos corrected, final version to appear in Regular and Chaotic Dynamics