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Quantum Cosmological Perfect Fluid Models

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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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Authors and Affiliations

  1. Departamento de Física, Universidade Federal do Espírito Santo, CEP29060-900, Vitória, Espírito Santo, Brazil

    F. G. Alvarenga & J. C. Fabris

  2. Departamento de Física, Universidade Federal Fluminense, CEP24210-340, Niterói, Rio de Janeiro, Brazil

    N. A. Lemos & G. A. Monerat

Authors
  1. F. G. Alvarenga
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  2. J. C. Fabris
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  3. N. A. Lemos
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  4. G. A. Monerat
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Alvarenga, F.G., Fabris, J.C., Lemos, N.A. et al. Quantum Cosmological Perfect Fluid Models. General Relativity and Gravitation 34, 651–663 (2002). https://doi.org/10.1023/A:1015986011295

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