Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System

Details Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System

1996-08-09

arxiv.org/abs/gr-qc/9608024v1

Class.Quant.Grav. 13 (1996) 2651

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, 6 Postscript figures, uses amsmath,amssymb,epsfig,verbatim, to appear in CQG

Scientific paper

10.1088/0264-9381/13/10/005

We construct the most general form of axially symmetric SU(2)-Yang-Mills fields in Bianchi cosmologies. The dynamical evolution of axially symmetric YM fields in Bianchi I model is compared with the dynamical evolution of the electromagnetic field in Bianchi I and the fully isotropic YM field in Friedmann-Robertson-Walker cosmologies. The stochastic properties of axially symmetric Bianchi I-Einstein-Yang-Mills systems are compared with those of axially symmetric YM fields in flat space. After numerical computation of Liapunov exponents in synchronous (cosmological) time, it is shown that the Bianchi I-EYM system has milder stochastic properties than the corresponding flat YM system. The Liapunov exponent is non-vanishing in conformal time.

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