Non-Integrability and Chaos in Classical Cosmology

Abstract

A brief analysis of the dynamics of a Friedmann-Robertson-Walker universe with a conformally coupled, real, self-interacting, massive scalar field, based on the Painleve theory of differential equations, is presented. Our results complete earlier works done within the framework of Dynamical System Theory. We conclude that, in general, the system will not be integrable and that the chaos that has been found in a previous work, arises from the presence of movable logarithmic branch points in the solution in the complex plane of time.

6 pages, RevTeX, accepted by Physics Letters A

Cited by in corpus (14)

• Cosmological solutions and growth index of matter perturbations in $f(Q)$ gravity
• Coupled oscillators as models of quintom dark energy
• Coupled oscillators as models of phantom and scalar field cosmologies
• Global integrability of cosmological scalar fields
• Kantowski-Sachs Einstein-æther perfect fluid models
• Static Spherically Symmetric Einstein-aether models II: Integrability and the Modified Tolman-Oppenheimer-Volkoff approach
• Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
• FRW cosmologies between chaos and integrability
• Scalar field cosmology in phase space
• Chaos in Robertson-Walker Cosmology
• Cosmological solutions in Hořava-Lifshitz gravity
• Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian
• Global dynamics of cosmological scalar fields -- Part II
• Horseshoes and invariant tori in cosmological models with a coupled field and non-zero curvature