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arXiv · 2302.03638

Loop Quantum Cosmology of non-diagonal Bianchi models

Matteo Bruno·Giovanni Montani
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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.

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Matteo Bruno, Giovanni Montani. 2023-02-07. Loop Quantum Cosmology of non-diagonal Bianchi models. https://doi.org/10.1103/physrevd.107.126013

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