Bianchi IX in the GUP approach
General Relativity and Quantum Cosmology
2009-03-04 v1
Abstract
The Bianchi IX cosmological model (through Bianchi I and II) is analyzed in the framework of a generalized uncertainty principle. In particular, the anisotropies of the Universe are described by a deformed Heisenberg algebra. Three main results are in order. (i) The Universe can not isotropize because of the deformed Kasner dynamics. (ii) 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. (iii) No reflection law can be in obtained since the Bianchi II model is no longer analytically integrable.
Keywords
Cite
@article{arxiv.0903.0494,
title = {Bianchi IX in the GUP approach},
author = {Marco Valerio Battisti and Giovanni Montani},
journal= {arXiv preprint arXiv:0903.0494},
year = {2009}
}
Comments
5 pages, to appear in the Proceedings of the 3rd Stueckelberg Workshop, July 2008, Pescara - Italy