Global dynamics of cosmological scalar fields -- Part II

TL;DR

This paper analyzes the integrability and chaotic behavior of cosmological models with conformally coupled scalar fields, revealing that most systems lack explicit solutions except in specific cases, and discusses real domain restrictions.

Contribution

It extends integrability analysis to conformally coupled scalar fields in cosmology, identifying non-integrable cases and exploring chaos and real domain issues.

Findings

Most systems are not integrable except four special cases.

Chaotic properties are observed in certain models.

Integrability issues are discussed within the real domain.

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.