Global dynamics of cosmological scalar fields -- Part II
General Relativity and Quantum Cosmology
2007-05-23 v3
Abstract
This is the second part of integrability analysis of cosmological models with scalar fields. Here, we study systems with conformal coupling, and show that apart from four cases, where explicit first integrals are known, the generic system is not integrable. We also comment on some chaotic properties of the system, and the issues of integrability restricted to the real domain.
Cite
@article{arxiv.gr-qc/0703031,
title = {Global dynamics of cosmological scalar fields -- Part II},
author = {Andrzej J. Maciejewski and Maria Przybylska and Tomasz Stachowiak and Marek Szydlowski},
journal= {arXiv preprint arXiv:gr-qc/0703031},
year = {2007}
}
Comments
11 pages; third version with major changes in the fifth section