Quantization of Friedmann cosmological models with two fluids: dust plus radiation

Details Quantization of Friedmann cosmological models with two fluids: dust plus radiation Quantization of Friedmann cosmological models with two fluids: dust plus radiation

2005-05-20

arxiv.org/abs/gr-qc/0505109v1

Phys.Lett. A344 (2005) 131-143

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 6 figures

Scientific paper

10.1016/j.physleta.2005.06.080

The causal interpretation of quantum mechanics is applied to a homogeneous and isotropic quantum universe, whose matter content is composed by non interacting dust and radiation. For wave functions which are eigenstates of the total dust mass operator, we find some bouncing quantum universes which reachs the classical limit for scale factors much larger than its minimum size. However these wave functions do not have unitary evolution. For wave functions which are not eigenstates of the dust total mass operator but do have unitary evolution, we show that, for flat spatial sections, matter can be created as a quantum effect in such a way that the universe can undergo a transition from an exotic matter dominated era to a matter dominated one.

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