Axially Symmetric Bianchi I Yang-Mills Cosmology as a Dynamical System
نویسنده
چکیده
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. Supported in part by NSERC grant A8059. †1991 Mathematics Subject Classification. Primary 83C20, 83F05; Secondary 53C30. ‡[email protected] §hp.kunzle.ualberta.ca
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تاریخ انتشار 1996