Homogeneous loop quantum cosmology
- 27 May 2003
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 20 (13) , 2595-2615
- https://doi.org/10.1088/0264-9381/20/13/310
Abstract
Loop quantum cosmological methods are extended to homogeneous models in diagonalized form. It is shown that the diagonalization leads to a simplification of the volume operator such that its spectrum can be determined explicitly. This allows the calculation of composite operators, most importantly the Hamiltonian constraint. As an application the dynamics of the Bianchi I model is studied and it is shown that its loop quantization is free of singularities.Keywords
All Related Versions
This publication has 21 references indexed in Scilit:
- Inflation from Quantum GeometryPhysical Review Letters, 2002
- Quantization ambiguities in isotropic quantum geometryClassical and Quantum Gravity, 2002
- Isotropic loop quantum cosmologyClassical and Quantum Gravity, 2002
- Inverse scale factor in isotropic quantum geometryPhysical Review D, 2001
- Dynamical Initial Conditions in Quantum CosmologyPhysical Review Letters, 2001
- Absence of a Singularity in Loop Quantum CosmologyPhysical Review Letters, 2001
- Loop quantum cosmology: II. Volume operatorsClassical and Quantum Gravity, 2000
- Quantum spin dynamics (QSD)Classical and Quantum Gravity, 1998
- A general solution of the Einstein equations with a time singularityAdvances in Physics, 1982
- Quantum Theory of Gravity. I. The Canonical TheoryPhysical Review B, 1967