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arxiv: gr-qc/9510030 · v1 · submitted 1995-10-17 · 🌀 gr-qc

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Minisuperspace Examples of Quantization Using Canonical Variables of the Ashtekar Type: Structure and Solutions

J. Fernando Barbero , Michael P. Ryan , Jr. (Penn State)
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classification 🌀 gr-qc
keywords solutionsquantumvariablesashtekarcanonicalcosmologyminisuperspacenumber
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The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quantum cosmology. We investigate the origin of these solutions in the context of a number of canonical transformations (both complex and real) of the basic Hamiltonian variables of general relativity. We are able to present several new solutions in the minisuperspace (quantum cosmology) sector. The meaning of these solutions is then discussed.

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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.