Quantum Stephani exact cosmological solutions and the selection of time variable
General Relativity and Quantum Cosmology
2008-11-26 v1
Abstract
We study perfect fluid Stephani quantum cosmological model. In the present work the Schutz's variational formalism which recovers the notion of time is applied. This gives rise to Wheeler-DeWitt equation for the scale factor. We use the eigenfunctions in order to construct wave packets for each case. We study the time-dependent behavior of the expectation value of the scale factor, using many-worlds and deBroglie-Bohm interpretations of quantum mechanics.
Cite
@article{arxiv.0709.1620,
title = {Quantum Stephani exact cosmological solutions and the selection of time variable},
author = {P. Pedram and S. Jalalzadeh and S. S. Gousheh},
journal= {arXiv preprint arXiv:0709.1620},
year = {2008}
}
Comments
19 pages, 7 figures