J 2020

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

CREMASCHINI, Claudio and Massimo TESSAROTTO

Basic information

Original name

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

Authors

CREMASCHINI, Claudio (380 Italy, belonging to the institution) and Massimo TESSAROTTO (380 Italy, belonging to the institution)

Edition

Symmetry, 2020, 2073-8994

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10300 1.3 Physical sciences

Country of publisher

Switzerland

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

RIV identification code

RIV/47813059:19630/20:A0000080

Organization unit

Institute of physics in Opava

DOI

http://dx.doi.org/10.3390/sym12040633

UT WoS

000540222200144

Keywords in English

general relativity; variational principles; hamilton equations; cosmological constant; quantum gravity

Tags

, FÚ2020, RIV21

Tags

International impact, Reviewed
Změněno: 23/3/2021 21:25, Mgr. Pavlína Jalůvková

Abstract

V originále

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.
Displayed: 25/12/2024 17:52