Quantum cosmological perfect fluid models
摘要
Perfect fluid Friedmann-Robertson-Walker quantum cosmological models for an arbitrary barotropic equation of state are constructed using Schutz's variational formalism. In this approach the notion of time can be recovered. By superposition of stationary states, finite-norm wave-packet solutions to the Wheeler-DeWitt equation are found. The behaviour of the scale factor is studied by applying the many-worlds and the ontological interpretations of quantum mechanics. Singularity-free models are obtained for . Accelerated expansion at present requires .
引用
@article{arxiv.gr-qc/0106051,
title = {Quantum cosmological perfect fluid models},
author = {F. G. Alvarenga and J. C. Fabris and N. A. Lemos and G. A. Monerat},
journal= {arXiv preprint arXiv:gr-qc/0106051},
year = {2021}
}
备注
Latex file, 12 pages. New paragraphs in the Introduction and Conclusion, and other minor corrections in the text and in some formulas. Accepted for publication in General Relativity and Gravitation