Quantum Cosmological Perfect Fluid Models

By F. G. Alvarenga, J. Fabris, N. A. Lemos, G. A. Monerat. 2001

136 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/210889ed49bf62bfe752561cd9f832cc0398c9e2