Quantum Cosmological Perfect Fluid Models |
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Authors: | F G Alvarenga J C Fabris N A Lemos G A Monerat |
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Institution: | (1) Departamento de Física, Universidade Federal do Espírito Santo, CEP29060-900 Vitória, Espírito Santo, Brazil;(2) Departamento de Física, Universidade Federal Fluminense, CEP24210-340 Niterói, Rio de Janeiro, Brazil |
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Abstract: | Perfect fluid Friedmann-Robertson-Walker quantum cosmological models for an arbitrary barotropic equation of state p = 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 < 1. Accelerated expansion at present requires –1/3 > > – 1. |
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Keywords: | Wheeler-DeWitt equation Friedmann models |
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