Loop Quantum Cosmology of non-diagonal Bianchi models
arXiv:2302.03638 · doi:10.1103/PhysRevD.107.126013
Abstract
The non-diagonal Bianchi models are studied in the loop framework for their classical and quantum formulation. The expressions of the Ashtekar-Barbero-Immirzi variables and their properties are found to provide a loop quantization of these models. In the special case of Bianchi I Universe, it is shown that the geometrical operators result invariant from the diagonal description. Hence, the kinematical Hilbert space of the non-diagonal Bianchi I model has similar features to the diagonal one.
arXiv comment17 pages
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- Big-Bounce in Quantum f(R)-Cosmology: Polymer Dynamics with Internal Time
- Cosmology in Loop Quantum Gravity: symmetry reduction preserving gauge degrees of freedom