Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity

Abstract

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.

arXiv comment15 Pages, 1 figure

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• Exact Solutions in Higher-Dimensional Lovelock and $Ad{S}_5$ Chern-Simons Gravity
• Non-Local Curvature Gravity Cosmology via Noether Symmetries
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• Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
• Minisuperspace Quantum Cosmology in Metric and Affine Theories of Gravity
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• Classical and Quantum Cosmology in Einstein-aether Scalar-tensor gravity: Noether Symmetry Analysis
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• Time-covariant Schrödinger equation and invariant decay probability: The $\Lambda$-Kantowski-Sachs universe