Quantum Isotropization of the Universe

Details Quantum Isotropization of the Universe Quantum Isotropization of the Universe

2000-01-24

arxiv.org/abs/gr-qc/0001074v1

Phys.Lett. A277 (2000) 194-204

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, RevTeX, 3 Postscript figures, uses graficx.sty

Scientific paper

10.1016/S0375-9601(00)00706-4

We consider minisuperspace models constituted of Bianchi I geometries with a free massless scalar field. The classical solutions are always singular (with the trivial exception of flat space-time), and always anisotropic once they begin anisotropic. When quantizing the system, we obtain the Wheeler-DeWitt equation as a four-dimensional massless Klein-Gordon equation. We show that there are plenty of quantum states whose corresponding bohmian trajectories may be non-singular and/or presenting large isotropic phases, even if they begin anisotropic, due to quantum gravitational effects. As a specific example, we exhibit field plots of bohmian trajectories for the case of gaussian superpositions of plane wave solutions of the Wheeler-DeWitt equation which have those properties. These conclusions are valid even in the absence of the scalar field.

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