Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F20%3AA0000080" target="_blank" >RIV/47813059:19630/20:A0000080 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2073-8994/12/4/633" target="_blank" >https://www.mdpi.com/2073-8994/12/4/633</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/sym12040633" target="_blank" >10.3390/sym12040633</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription

Popis výsledku v původním jazyce

The manifestly-covariant Hamiltonian structure of classical General Relativity is shown to be associated with a path-integral synchronous Hamilton variational principle for the Einstein field equations. A realization of the same variational principle in both unconstrained and constrained forms is provided. As a consequence, the cosmological constant is found to be identified with a Lagrange multiplier associated with the normalization constraint for the extremal metric tensor. In particular, it is proved that the same Lagrange multiplier identifies a 4-scalar gauge function generally dependent on an invariant proper-time parameter s. Such a result is shown to be consistent with the prediction of the cosmological constant based on the theory of manifestly-covariant quantum gravity.

Název v anglickém jazyce

Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription

Popis výsledku anglicky

The manifestly-covariant Hamiltonian structure of classical General Relativity is shown to be associated with a path-integral synchronous Hamilton variational principle for the Einstein field equations. A realization of the same variational principle in both unconstrained and constrained forms is provided. As a consequence, the cosmological constant is found to be identified with a Lagrange multiplier associated with the normalization constraint for the extremal metric tensor. In particular, it is proved that the same Lagrange multiplier identifies a 4-scalar gauge function generally dependent on an invariant proper-time parameter s. Such a result is shown to be consistent with the prediction of the cosmological constant based on the theory of manifestly-covariant quantum gravity.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10300 - Physical sciences

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2020

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

12

Číslo periodika v rámci svazku

4

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

16

Strana od-do

„633-1“-„633-16“

Kód UT WoS článku

000540222200144

EID výsledku v databázi Scopus

2-s2.0-85084570324