Axially symmetric Bianchi I Yang-Mills cosmology as a dynamical system
Axially symmetric Bianchi I Yang-Mills cosmology as a dynamical system
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作为动力系统的轴对称 Bianchi I Yang-Mills 宇宙学
DOI：
10.1088/0264-9381/13/10/005
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发表时间：
1996
影响因子：
3.5
通讯作者：
H. Kunzle
中科院分区：
文献类型：
--
作者：
B. Darian;H. Kunzle
我们构造了Bianci宇宙轴对称SU(2)-Yang-Mills场的最一般形式。将Bianci I模型中轴对称Yang-Mills场的动力学演化与Biachi I模型中电磁场的动力学演化以及Friedmann-Robertson-Walker宇宙学中全各向同性Yang-Mills场的动力学演化进行了比较。比较了平面空间中轴对称Bianci I-Einstein-Yang-Mills系统和轴对称Yang-Mills场的随机性质。对同步(宇宙)时间的Liapunov指数进行了数值计算，结果表明Bianci-Einstein-Yang-Mills系统比相应的平坦Yang-Mills系统具有更温和的随机性质。Liapunov指数在共形时间内不为零。
We construct the most general form of axially symmetric SU(2) - Yang - Mills fields in Bianchi cosmologies. The dynamical evolution of axially symmetric Yang - Mills fields in the Bianchi I model is compared with the dynamical evolution of the electromagnetic field in Bianchi I and the fully isotropic Yang - Mills 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 Yang - Mills fields in flat space. After numerical computation of Liapunov exponents in synchronous (cosmological) time, it is shown that the Bianchi I - Einstein - Yang - Mills system has milder stochastic properties than the corresponding flat Yang - Mills system. The Liapunov exponent is non-vanishing in conformal time.