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arXiv · gr-qc/0106051

Quantum cosmological perfect fluid models

F. G. Alvarenga·J. C. Fabris·N. A. Lemos·G. A. Monerat
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Abstract

Perfect fluid Friedmann-Robertson-Walker quantum cosmological models for an arbitrary barotropic equation of state $p = αρ$ 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 $α< 1$. Accelerated expansion at present requires $- 1/3 > α> - 1$.

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F. G. Alvarenga, J. C. Fabris, N. A. Lemos, G. A. Monerat. 2002-01-23. Quantum cosmological perfect fluid models. https://doi.org/10.1023/a%3A1015986011295

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