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Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity

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arxiv 2101.00432 v2 pith:T5IW4PIU submitted 2021-01-02 gr-qc hep-th

classification gr-qchep-th
keywords noethercosmologyquantumsymmetriesteleparalleladoptingapplyapproach
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We apply the Noether Symmetry Approach to point-like teleparallel Lagrangians in view to derive minisuperspaces suitable for Quantum Cosmology. Adopting the Arnowitt-Deser-Misner formalism, we find out related Wave Functions of the Universe. Specifically, by means of appropriate changes of variables suggested by the existence of Noether symmetries, it is possible to obtain the cosmological Hamiltonians whose solutions are classical trajectories interpretable as observable universes.

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Cited by 1 Pith paper

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  1. Teleparallel dark energy in a nonflat universe

    gr-qc 2025-05 conditional novelty 5.0 of 10

    Nonflat teleparallel dark energy with a vanishing potential is statistically favored over Lambda CDM in the authors' MCMC fit and mildly prefers an open universe.

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