Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology
General Relativity and Quantum Cosmology
2009-11-11 v3 Astrophysics
High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.gr-qc/0505030,
title = {Pre-classical solutions of the vacuum Bianchi I loop quantum cosmology},
author = {Ghanashyam Date},
journal= {arXiv preprint arXiv:gr-qc/0505030},
year = {2009}
}
Comments
4 pages, revtex4, no figures. In version 2, reference added and minor changes made. The final Version 3 includes additional explanations