Preclassical solutions of the vacuum Bianchi I loop quantum cosmology

Journal Article · Thu Sep 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.067301· OSTI ID:20713598

Date, Ghanashyam ^[1]

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1. Institute of Mathematical Sciences, CIT Campus, Chennai-600 113 (India)

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.

• OSTI ID: 20713598
• Journal Information: Physical Review. D, Particles Fields, Vol. 72, Issue 6; Other Information: DOI: 10.1103/PhysRevD.72.067301; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGY
FIELD EQUATIONS
HAMILTONIANS
MATHEMATICAL SOLUTIONS
QUANTIZATION
QUANTUM FIELD THEORY
SEMICLASSICAL APPROXIMATION
SINGULARITY