The Bianchi Type I minisuperspace model
Abstract
The minisuperspace model of a Bianchi Type I universe with compact spatial sections is investigated. The classical solutions are brought onto a form were the difference between compact and infinite spatial sections are manifest. One of the features of the compact case is that it has a non-trivial moduli space. The solution space of the compact Bianchi Type I universe is 10 dimensional whereas the Kasner solutions only have a 1 dimensional solution space. We also include the classical solutions with dust and a cosmological constant. Solutions to the Wheeler-DeWitt equation are obtained in light of the tunneling boundary proposal by Vilenkin. Backreaction effects from a simple scalar field are also investigated.
Cite
@article{arxiv.gr-qc/0003084,
title = {The Bianchi Type I minisuperspace model},
author = {Sigbjorn Hervik},
journal= {arXiv preprint arXiv:gr-qc/0003084},
year = {2009}
}
Comments
22 pages, 4 Postscript figures, REVTeX, additional sections included