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

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.

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

References in corpus (2)

• Chaotic Friedmann-Robertson-Walker Cosmology
• Yang-Mills Cosmologies and Collapsing Gravitational Sphalerons

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• Chaos-order transition in Bianchi I non-Abelian Born-Infeld cosmology
• Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies
• Towards N=2 $SUSY$ Homogeneous Quantum Cosmology; Einstein--Yang--Mills systems
• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
• Gravitational Instability of Yang-Mills Cosmologies
• Stabilization of the Yang-Mills chaos in non-Abelian Born-Infeld theory