Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-08-06
Phys.Lett.B681:179-184,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
7 pages, minor changes
Scientific paper
10.1016/j.physletb.2009.10.003
The Bianchi IX cosmological model is analyzed in a generalized uncertainty principle framework. The Arnowitt-Deser-Misner reduction of the dynamics is performed and a time-coordinate, namely the volume of the Universe, naturally arises. Such a variable is treated in the ordinary way while the anisotropies (the physical degrees of freedom) are described by a deformed Heisenberg algebra. The analysis of the model (passing through Bianchi I and II) is performed at classical level by studying the modifications induced on the symplectic geometry by the deformed algebra. We show that, the Universe can not isotropize because of the deformed Kasner dynamics, the triangular allowed domain is asymptotically stationary with respect to the particle (Universe) and its bounces against the walls are not interrupted by the deformed effects. Furthermore, no reflection law can be in general obtained since the Bianchi II model is no longer analytically integrable. This way, the deformed Mixmaster Universe can be still considered a chaotic system.
Battisti Marco Valerio
Montani Giovanni
No associations
LandOfFree
The Mixmaster Universe in a generalized uncertainty principle framework 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 The Mixmaster Universe in a generalized uncertainty principle framework, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The Mixmaster Universe in a generalized uncertainty principle framework will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-28111