Quantum geometrodynamics of the Bianchi IX model in extended phase space

Details Quantum geometrodynamics of the Bianchi IX model in extended phase space Quantum geometrodynamics of the Bianchi IX model in extended phase space

1999-09-15

arxiv.org/abs/gr-qc/9909047v1

Int.J.Mod.Phys. A14 (1999) 4473-4490

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTeX, 18 pages, to be published in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X99002098

A way of constructing mathematically correct quantum geometrodynamics of a closed universe is presented. The resulting theory appears to be gauge-noninvariant and thus consistent with the observation conditions of a closed universe, by that being considerably distinguished from the conventional Wheeler - DeWitt one. For the Bianchi-IX cosmological model it is shown that a normalizable wave function of the Universe depends on time, allows the standard probability interpretation and satisfies a gauge-noninvariant dynamical Schrodinger equation. The Wheeler - DeWitt quantum geometrodynamics is represented by a singular, BRST-invariant solution to the Schrodinger equation having no property of normalizability.

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