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arxiv: gr-qc/0109058 · v1 · pith:Y7EICOLZnew · submitted 2001-09-18 · 🌀 gr-qc

Quantum Cosmology for the General Bianchi Type II, VI(Class A) and VII(Class A) vacuum geometries

classification 🌀 gr-qc
keywords classgeneralgeometriesquantumtypevacuumwellachieved
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The canonical quantization of the most general minisuperspace actions --i.e. with all six scale factor as well as the lapse function and the shift vector present-- describing the vacuum type II, VI and VII geometries, is considered. The reduction to the corresponding physical degrees of freedom is achieved through the usage of the linear constraints as well as the quantum version of the entire set of classical integrals of motion.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Canonical quantization of all minisuperspaces with consistent symmetry reductions

    gr-qc 2026-05 unverdicted novelty 5.0

    Canonical quantization of all consistent symmetry reductions of the Einstein-Hilbert Lagrangian, with solutions to the Wheeler-DeWitt equation both with and without imposed conformal symmetries.

  2. Canonical quantization of all minisuperspaces with consistent symmetry reductions

    gr-qc 2026-05 unverdicted novelty 5.0

    All minisuperspaces from symmetry reductions of the Einstein-Hilbert Lagrangian that obey the principle of symmetric criticality are canonically quantized and their Wheeler-DeWitt equations are solved.