Chaos in the Einstein-Yang-Mills Equations

Details Chaos in the Einstein-Yang-Mills Equations Chaos in the Einstein-Yang-Mills Equations

1997-06-20

arxiv.org/abs/gr-qc/9706065v1

Phys.Rev.Lett. 80 (1998) 656-659

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

3 pages LaTeX + 3 pages of figures

Scientific paper

10.1103/PhysRevLett.80.656

Yang-Mills color fields evolve chaotically in an anisotropically expanding universe. The chaotic behaviour differs from that found in anisotropic Mixmaster universes. The universe isotropizes at late times, approaching the mean expansion rate of a radiation-dominated universe. However, small chaotic oscillations of the shear and color stresses continue indefinitely. An invariant, coordinate-independent characterisation of the chaos is provided by means of fractal basin boundaries.

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