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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

<a href="/cs/project/GB14-37086G" target="_blank" >GB14-37086G: Centrum Alberta Einsteina pro gravitaci a astrofyziku</a><br>

Návaznosti

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

Rok uplatnění

2018

Kód důvěrnosti údajů

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

Název periodika

Symmetry

ISSN

2073-8994

e-ISSN

—

Svazek periodika

10

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

17

Strana od-do

—

Kód UT WoS článku

000428515300019

EID výsledku v databázi Scopus

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