Noether symmetries and quantum cosmology in extended teleparallel gravity-Reference-Cited by-同舟云学术

Noether symmetries and quantum cosmology in extended teleparallel gravity

Published:2021-02-10 Issue:supp01 Volume:18 Page:2140002
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Bajardi Francesco¹²^ORCID,Capozziello Salvatore¹²³⁴

Affiliation:

1. Department of Physics “E. Pancini”, University of Naples “Federico II”, Via Cinthia I-80126, Naples, Italy

2. INFN Sezione di Napoli, Compl. Univ. di Monte S. Angelo, Edificio G, Via Cinthia I-80126, Naples, Italy

3. Scuola Superiore Meridionale, Largo San Marcellino 10, I-80138, Naples, Italy

4. Tomsk State Pedagogical University, ul. Kievskaya, 60, 634061 Tomsk, Russia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887821400028

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