CREMASCHINI, Claudio and Massimo TESSAROTTO. Classical Variational Theory of the Cosmological Constant and Its Consistency with Quantum Prescription. Symmetry. 2020, vol. 12, No 4, p. "633-1"-"633-16", 16 pp. ISSN 2073-8994. Available from: https://dx.doi.org/10.3390/sym12040633.
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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
Original language English
Type of outcome Article in a journal
Field of Study 10300 1.3 Physical sciences
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
WWW 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 FÚ, FÚ2020, RIV21
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 23/3/2021 21:25.
Abstract
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.
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