Symmetries in Classical and Quantum Treatment of Einstein's Cosmological Equations and Mini-Superspace Actions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F18%3A10388230" target="_blank" >RIV/00216208:11320/18:10388230 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.3390/sym10030070" target="_blank" >https://doi.org/10.3390/sym10030070</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym10030070" target="_blank" >10.3390/sym10030070</a>

Result language

angličtina

Original language name

Symmetries in Classical and Quantum Treatment of Einstein's Cosmological Equations and Mini-Superspace Actions

Original language description

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.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10300 - Physical sciences

Project

<a href="/en/project/GB14-37086G" target="_blank" >GB14-37086G: Albert Einstein Center for Gravitation and Astrophysics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2018

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Symmetry

ISSN

2073-8994

e-ISSN

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Volume of the periodical

10

Issue of the periodical within the volume

3

Country of publishing house

CH - SWITZERLAND

Number of pages

17

Pages from-to

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UT code for WoS article

000428515300019

EID of the result in the Scopus database

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