Non-Integrability and Chaos in Classical Cosmology

Details Non-Integrability and Chaos in Classical Cosmology Non-Integrability and Chaos in Classical Cosmology

1997-05-07

arxiv.org/abs/gr-qc/9705009v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, RevTeX, accepted by Physics Letters A

Scientific paper

10.1016/S0375-9601(97)00258-2

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.

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