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.
Keywords
Cite
@article{arxiv.gr-qc/9608024,
title = {Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System},
author = {B. K. Darian and H. P. Kunzle},
journal= {arXiv preprint arXiv:gr-qc/9608024},
year = {2009}
}
Comments
18 pages, 6 Postscript figures, uses amsmath,amssymb,epsfig,verbatim, to appear in CQG