Physics
Scientific paper
Mar 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006jphcs..31..207j&link_type=abstract
Journal of Physics: Conference Series, Volume 31, Issue 1, pp. 207-208 (2006).
Physics
Scientific paper
Studying Yang-Mills field and gravitational field in class A Bianchi spacetimes, we find that chaotic behavior appears in the late phase (the asymptotic future). At the same time, in the initial phase (near the initial singularity), we find a Mixmaster-like behavior in Bianchi I spacetime. Although this result may provide a counterexample to the BKL (Belinskii, Khalatnikov and Lifshitz) conjecture, we show that the BKL conjecture is still valid in Bianchi IX spacetime. We also analyze a multiplicative effect of two types of chaos, that is, chaos with the Yang-Mills field and that in vacuum Bianchi IX spacetime. In order to consider influence of such chaotic system upon cosmology, we also study the co-evolution of Yang-Mills fields and perfect fluids in Bianchi type I spacetime. We find that, whereas magnetic universes are strongly constrained by the microwave background anisotropy, Yang-Mills universes are principally constrained by primordial nucleosynthesis and the bound is comparatively weak, and ΩYM < 0.105Ωrad
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