Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity
General Relativity and Quantum Cosmology
2021-11-29 v2 High Energy Physics - Theory
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.
Cite
@article{arxiv.2101.00432,
title = {Noether Symmetries and Quantum Cosmology in Extended Teleparallel Gravity},
author = {Francesco Bajardi and Salvatore Capozziello},
journal= {arXiv preprint arXiv:2101.00432},
year = {2021}
}
Comments
15 Pages, 1 figure