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Classical analogous of quantum cosmological perfect fluid models

A. B. Batista·J. C. Fabris·S. V. B. Goncalves·J. Tossa
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Abstract

Quantization in the mini-superspace of a gravity system coupled to a perfect fluid, leads to a solvable model which implies singularity free solutions through the construction of a superposition of the wavefunctions. We show that such models are equivalent to a classical system where, besides the perfect fluid, a repulsive fluid with an equation of state $p_Q = ρ_Q$ is present. This leads to speculate on the true nature of this quantization procedure. A perturbative analysis of the classical system reveals the condition for the stability of the classical system in terms of the existence of an anti-gravity phase.

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A. B. Batista, J. C. Fabris, S. V. B. Goncalves, J. Tossa. 2000-11-28. Classical analogous of quantum cosmological perfect fluid models. https://doi.org/10.1016/s0375-9601(01)00229-8

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