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Quantum cosmological perfect fluid models

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arxiv gr-qc/0106051 v2 pith:XDPFGQ4M submitted 2001-06-14 gr-qc

F.G. Alvarenga , J.C. Fabris , N.A. Lemos , G.A. Monerat This is my paper · ORCID
classification gr-qc
keywords alphamodelsquantumcosmologicalequationfluidperfectaccelerated
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abstract

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 $- 1/3 > \alpha > - 1$.

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  1. Exact path integrals on half-line in quantum cosmology with a fluid clock and aspects of operator ordering ambiguity

    gr-qc 2025-01 conditional novelty 6.0 of 10

    For minisuperspace dimension D>2 with a fluid clock, adding a specific curvature term makes physical predictions independent of a large class of operator orderings; in D=1 the ambiguity remains.

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