Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-12-13
Phys.Rev. D71 (2005) 064007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
15 pages, 8 figures
Scientific paper
10.1103/PhysRevD.71.064007
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). In this phase, the Yang-Mills field behaves as that in Minkowski spacetime, in which we can understand it by a potential picture, except for the types VIII and IX. At the same time, in the initial phase (near the initial singularity), we numerically find that the behavior seems to approach the Kasner solution. However, we show that the Kasner circle is unstable and the Kasner solution is not an attractor. From an analysis of stability and numerical simulation, 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. Two types of chaos seem to coexist in the initial phase. However, the effect due to the Yang-Mills field is much smaller than that of the curvature term.
Jin Yoshida
Maeda Kei--ichi
No associations
LandOfFree
Chaos of Yang-Mills Field in Class A Bianchi Spacetimes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Chaos of Yang-Mills Field in Class A Bianchi Spacetimes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chaos of Yang-Mills Field in Class A Bianchi Spacetimes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-115389