2000/03/31 by Sigbjørn Hervik, Sigbjorn Hervik · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/17/14/311
published as Class.Quant.Grav. 17 (2000) 2765-2782 · 22 pages, 4 Postscript figures, REVTeX, additional sections included
openalex publication_date 2000/07/03 · arxiv created 2000/07/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
The minisuperspace model of a Bianchi type I universe with compact spatial sections is investigated. The classical solutions are brought into a form where the difference between compact and infinite spatial sections is 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 one-dimensional solution space. We also include the classical solutions with a dust and a cosmological constant. Solutions to the Wheeler-DeWitt equation are obtained in the light of the tunnelling boundary proposal by Vilenkin. Backreaction effects from a simple scalar field are also investigated.