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Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology

Ghanashyam Date
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Abstract

Loop quantization of diagonalized Bianchi class A models, leads to a partial difference equation as the Hamiltonian constraint at the quantum level. A criterion for testing a viable semiclassical limit has been formulated in terms of existence of the so-called pre-classical solutions. We demonstrate the existence of pre-classical solutions of the quantum equation for the vacuum Bianchi I model. All these solutions avoid the classical singularity at vanishing volume.

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Ghanashyam Date. 2005-09-08. Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology. https://doi.org/10.1103/physrevd.72.067301

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