Homogeneous Loop Quantum Cosmology

Preprint

19 March 2003

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/0303073

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

QUANTUM COSMOLOGICAL
COSMOLOGICAL METHODS
QUANTUM COSMOLOGY
HOMOGENEOUS LOOP
COSMOLOGY LOOP
SINGULARITIES
LOOP QUANTUM
QUANTIZATION

All Related Versions

Version 1, 2003-03-19, ArXiv
Published version: Classical and Quantum Gravity, 20 (13), 2595.

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