Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - 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
Result continuities
Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Symmetry
ISSN
2073-8994
e-ISSN
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Volume of the periodical
12
Issue of the periodical within the volume
4
Country of publishing house
CH - SWITZERLAND
Number of pages
16
Pages from-to
„633-1“-„633-16“
UT code for WoS article
000540222200144
EID of the result in the Scopus database
2-s2.0-85084570324