Noether’s Symmetries in Quantum Cosmology

Abstract

first_page settings Order Article Reprints Font Type: Arial Georgia Verdana Font Size: Aa Aa Aa Line Spacing:    Column Width:    Background: Open AccessAbstract Noether’s Symmetries in Quantum Cosmology † by Salvatore Capozziello Dipartimento di Fisica, Università di Napoli “Federico II”, 80138 Napoli NA, Italy † Presented at Symmetry 2017—The First International Conference on Symmetry, Barcelona, Spain, 16–18 October 2017. Proceedings 2018, 2(1), 22; https://doi.org/10.3390/proceedings2010022 Published: 1 February 2018 (This article belongs to the Proceedings of The First International Conference on Symmetry) Download Download PDF Download PDF with Cover Download XML Versions Notes We discuss the Hamiltonian dynamics for cosmologies coming from theories of gravity. In particular, minisuperspace models are taken into account searching for Noether symmetries. The existence of conserved quantities gives selection rules to recover classical behaviors in cosmic evolution according to the so-called Hartle criterion, that allows to select correlated regions in the configuration space of dynamical variables. We show that such a statement works for general classes of Theories of Gravity and is conformally preserved. Furthermore, the presence of Noether symmetries allows a straightforward classification of singularities that represent the points where the symmetry is broken. Examples for nonminimally coupled and higher-order models are discussed. © 2018 by the author. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/). Share and Cite MDPI and ACS Style Capozziello, S. Noether’s Symmetries in Quantum Cosmology. Proceedings 2018, 2, 22. https://doi.org/10.3390/proceedings2010022 AMA Style Capozziello S. Noether’s Symmetries in Quantum Cosmology. Proceedings. 2018; 2(1):22. https://doi.org/10.3390/proceedings2010022 Chicago/Turabian Style Capozziello, Salvatore. 2018. "Noether’s Symmetries in Quantum Cosmology" Proceedings 2, no. 1: 22. https://doi.org/10.3390/proceedings2010022 Find Other Styles Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here. Article Metrics No No Article Access Statistics Multiple requests from the same IP address are counted as one view.