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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

Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity

classification gr-qc hep-th
keywords noethercosmologyquantumsymmetriesteleparalleladoptingapplyapproach
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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