Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-03-13
Phys.Lett. B509 (2001) 323-330
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, 1 figure
Scientific paper
10.1016/S0370-2693(01)00498-1
Some time ago, it was found that the never-ending oscillatory chaotic behaviour discovered by Belinsky, Khalatnikov and Lifshitz (BKL) for the generic solution of the vacuum Einstein equations in the vicinity of a spacelike ("cosmological") singularity disappears in spacetime dimensions $D= d+1>10$. Recently, a study of the generalization of the BKL chaotic behaviour to the superstring effective Lagrangians has revealed that this chaos is rooted in the structure of the fundamental Weyl chamber of some underlying hyperbolic Kac-Moody algebra. In this letter, we show that the same connection applies to pure gravity in any spacetime dimension $\geq 4$, where the relevant algebras are $AE_d$. In this way the disappearance of chaos in pure gravity models in $D > 10$ dimensions becomes linked to the fact that the Kac-Moody algebras $AE_d$ are no longer hyperbolic for $d > 9$.
Damour Thibault
Henneaux Marc
Julia Bernard
Nicolai Hermann
No associations
LandOfFree
Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models 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 Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic Kac-Moody Algebras and Chaos in Kaluza-Klein Models will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-423898