Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions
type: Item
instance of: scholarly article
title: Symmetries in classical and quantum treatment of Einstein's cosmological equations and mini-superspace actions
zbMATH Open document ID: 1392.83004
author: T. Christodoulakis
author: Alexandros Karagiorgos
author: Adamantia Zampeli
published in: Symmetry
publication date: 2018-08-13T00:00:00Z
review text: Summary: The use of automorphisms of the various Bianchi-type Lie algebras as Lie-point symmetries of the corresponding Einstein field equations entails a reduction of their order and ultimately leads to the entire solution space. When a valid reduced action principle exists, the symmetries of the configuration mini-supermetric space can also be used, in conjunction with the constraints, to provide local or non-local constants of motion. At the classical level, depending on their number, these integrals can even secure the acquisition of the entire solution space without any further solving of the dynamical equations. At the quantum level, their operator analogues can be used, along with the Wheeler-DeWitt equation, to define unique wave functions that exhibit singularity-free behavior at a semi-classical level.
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 34C14
Mathematics Subject Classification ID: 83C20
Mathematics Subject Classification ID: 17B81
Mathematics Subject Classification ID: 83C45
zbMATH DE Number: 6916697
zbMATH Keywords: symmetries of ODE's
zbMATH Keywords: Einstein cosmological actions
zbMATH Keywords: minisuperspace
MaRDI profile type: Publication
full work available at URL: sym10030070
OpenAlex ID: W2792544613
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Wikidata QID: Q130116259
DOI: 10.3390/SYM10030070
description: scientific article; zbMATH DE number 6916697