Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-02-11
Phys.Rev.D72:063513,2005
Physics
High Energy Physics
High Energy Physics - Theory
1 figure. v2/v3: minor typos corrected
Scientific paper
10.1103/PhysRevD.72.063513
We consider the effect of compactification of extra dimensions on the onset of classical chaotic "Mixmaster" behavior during cosmic contraction. Assuming a universe that is well-approximated as a four-dimensional Friedmann-Robertson--Walker model (with negligible Kaluza-Klein excitations) when the contraction phase begins, we identify compactifications that allow a smooth contraction and delay the onset of chaos until arbitrarily close the big crunch. These compactifications are defined by the de Rham cohomology (Betti numbers) and Killing vectors of the compactification manifold. We find compactifications that control chaos in vacuum Einstein gravity, as well as in string theories with N = 1 supersymmetry and M-theory. In models where chaos is controlled in this way, the universe can remain homogeneous and flat until it enters the quantum gravity regime. At this point, the classical equations leading to chaotic behavior can no longer be trusted, and quantum effects may allow a smooth approach to the big crunch and transition into a subsequent expanding phase. Our results may be useful for constructing cosmological models with contracting phases, such as the ekpyrotic/cyclic and pre-big bang models.
Steinhardt Paul J.
Turok Neil
Wesley Daniel H.
No associations
LandOfFree
Controlling Chaos through Compactification in Cosmological Models with a Collapsing Phase 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 Controlling Chaos through Compactification in Cosmological Models with a Collapsing Phase, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Controlling Chaos through Compactification in Cosmological Models with a Collapsing Phase will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-54872