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

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

2005-05-08

arxiv.org/abs/gr-qc/0505030v3

Phys.Rev. D72 (2005) 067301

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, revtex4, no figures. In version 2, reference added and minor changes made. The final Version 3 includes additional ex

Scientific paper

10.1103/PhysRevD.72.067301

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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