Preclassical solutions of the vacuum Bianchi I loop quantum cosmology

Ghanashyam Date
Phys. Rev. D 72, 067301 – Published 12 September 2005

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 preclassical solutions. We demonstrate the existence of preclassical solutions of the quantum equation for the vacuum Bianchi I model. All these solutions avoid the classical singularity at vanishing volume.

  • Received 13 May 2005

DOI:https://doi.org/10.1103/PhysRevD.72.067301

©2005 American Physical Society

Authors & Affiliations

Ghanashyam Date*

  • The Institute of Mathematical Sciences, CIT Campus, Chennai-600 113, India

  • *Electronic address: shyam@imsc.res.in

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Issue

Vol. 72, Iss. 6 — 15 September 2005

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