Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-03-19
Class.Quant.Grav.20:2595-2615,2003
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
25 pages, 3 figures
Scientific paper
10.1088/0264-9381/20/13/310
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.
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