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

B. K. Darian·H. P. Kunzle
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Abstract

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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B. K. Darian, H. P. Kunzle. 1996-08-09. Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System. https://doi.org/10.1088/0264-9381%2F13%2F10%2F005

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