Chaotic Friedmann-Robertson-Walker Cosmology

Details Chaotic Friedmann-Robertson-Walker Cosmology Chaotic Friedmann-Robertson-Walker Cosmology

1992-11-23

arxiv.org/abs/gr-qc/9211027v1

Class.Quant.Grav.10:1825-1842,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

28 pages, 11 figures

Scientific paper

10.1088/0264-9381/10/9/022

We show that the dynamics of a spatially closed Friedmann - Robertson - Walker Universe conformally coupled to a real, free, massive scalar field, is chaotic, for large enough field amplitudes. We do so by proving that this system is integrable under the adiabatic approximation, but that the corresponding KAM tori break up when non adiabatic terms are considered. This finding is confirmed by numerical evaluation of the Lyapunov exponents associated with the system, among other criteria. Chaos sets strong limitations to our ability to predict the value of the field at the Big Crunch, from its given value at the Big Bang. (Figures available on request)

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