1996
DOI: 10.1088/0264-9381/13/10/005
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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 comput… Show more

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Cited by 19 publications
(25 citation statements)
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“…A Axi-symmetric gauge fields A.1 Symmetry constraints Using symmetry, we can make a reduction of variables [44]. In the present system, there are spacetime isometry and gauge symmetry.…”
mentioning
confidence: 99%
“…A Axi-symmetric gauge fields A.1 Symmetry constraints Using symmetry, we can make a reduction of variables [44]. In the present system, there are spacetime isometry and gauge symmetry.…”
mentioning
confidence: 99%
“…This imposes special symmetries on the dynamics and the dynamical system is integrable: chaos cannot exist [5]. Recently, a Yang-Mills theory was formulated in an axisymmetric, spatially homogeneous universe [6]. The large number of degrees of freedom made an analysis of the full dynamics difficult, and the coordinate dependence of the standard chaotic indicators meant that the relativistic chaos could not be invariantly characterised.In this letter, we analyse general relativistic Yang-Mills chaos using invariant topological methods.…”
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confidence: 99%
“…After fixing the internal gauge of the Yang-Mills field, the matter can be parametrized by two variables (α, γ) [6], which can be thought of as color degrees of freedom for the massless gauge fields. The cosmological evolution is an orbit in the (b, c, α, γ) phase space.…”
mentioning
confidence: 99%
“…In Figure 9, we have represented the potential V associated to the results in Figures 5,6,7,8,11 and 15. The oscillation has been unfolded along the σ−axis and the resulting plot has been split in two for sake of readiness.…”
Section: Discussionmentioning
confidence: 99%