Loop Quantum Cosmology of non-diagonal Bianchi models
General Relativity and Quantum Cosmology
2023-06-19 v1
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.
Cite
@article{arxiv.2302.03638,
title = {Loop Quantum Cosmology of non-diagonal Bianchi models},
author = {Matteo Bruno and Giovanni Montani},
journal= {arXiv preprint arXiv:2302.03638},
year = {2023}
}
Comments
17 pages