Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
arXiv:gr-qc/0505030 · doi:10.1103/PhysRevD.72.067301
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.
4 pages, revtex4, no figures. In version 2, reference added and minor changes made. The final Version 3 includes additional explanations
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