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Quantum geometrodynamics of the Bianchi IX model in extended phase space | | V. A. Savchenko
; T. P. Shestakova
; G. M. Vereshkov
; | | Date: |
15 Sep 1999 | | Journal: | Int.J.Mod.Phys. A14 (1999) 4473-4490 | | Subject: | gr-qc | | Abstract: | 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. | | Source: | arXiv, gr-qc/9909047 | | Services: | Forum | Review | PDF | Favorites | |
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