2007/03/06 by Andrzej J. Maciejewski, Maria Przybylska, Maciejewski, Andrzej J. +5 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0703031
11 pages; third version with major changes in the fifth section
arxiv created 2007/03/18 · arxiv updated 2009/12/01
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.