Bianchi I model in terms of nonstandard loop quantum cosmology: Classical dynamics
arXiv:0909.4211 · doi:10.1103/PhysRevD.80.124033
Abstract
The cosmological singularities of the Bianchi I universe are analyzed in the setting of loop geometry underlying the loop quantum cosmology. We solve the Hamiltonian constraint of the theory and find the Lie algebra of elementary observables. Physical compound observables are defined in terms of elementary ones. Modification of classical theory by holonomy around a loop removes the singularities. However, our model has a free parameter that cannot be determined within our method. Testing the model by the data of observational cosmology may be possible after quantization of our modified classical theory.
13 pages, published version
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- Modified Friedmann equation and survey of solutions in effective Bianchi-I loop quantum cosmology
- Bianchi I model in terms of nonstandard loop quantum cosmology: Quantum dynamics
- Evolution in bouncing quantum cosmology
- Gaussian state for the bouncing quantum cosmology
- Quantum theory of the Bianchi II model
- Quantum of volume in de Sitter space
- Cosmological Big Bounce Transition
- Examination of the nature of the Bianchi type cosmological singularities
- Tomography in Loop Quantum Cosmology