Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-06-14
Gen.Rel.Grav. 34 (2002) 651-663
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
Latex file, 12 pages. New paragraphs in the Introduction and Conclusion, and other minor corrections in the text and in some f
Scientific paper
Perfect fluid Friedmann-Robertson-Walker quantum cosmological models for an arbitrary barotropic equation of state $p = \alpha\rho$ 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 $\alpha < 1$. Accelerated expansion at present requires $- 1/3 > \alpha > - 1$.
Alvarenga Flavio G.
Fabris Julio Cesar
Lemos Nivaldo A.
Monerat G. A.
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