The nondiagonal Bianchi models are studied in the loop framework for their classical and quantum formulations. 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 a Bianchi I universe, it is shown that the geometrical operators result invariant from the diagonal description. Hence, the kinematical Hilbert space of the nondiagonal Bianchi I model has similar features to the diagonal one.
Loop quantum cosmology of non-diagonal Bianchi models / Bruno, Matteo; Montani, Giovanni. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 107:12(2023), pp. 1-17. [10.1103/physrevd.107.126013]
Loop quantum cosmology of non-diagonal Bianchi models
Matteo Bruno
;Giovanni Montani
2023
Abstract
The nondiagonal Bianchi models are studied in the loop framework for their classical and quantum formulations. 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 a Bianchi I universe, it is shown that the geometrical operators result invariant from the diagonal description. Hence, the kinematical Hilbert space of the nondiagonal Bianchi I model has similar features to the diagonal one.| File | Dimensione | Formato | |
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