TESSAROTTO, Massimo and Claudio CREMASCHINI. Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory. SYMMETRY-BASEL. Švýcarsko, 2022, vol. 14, No 10, p. "2083-1"-"2083-28", 28 pp. ISSN 2073-8994. Available from: https://dx.doi.org/10.3390/sym14102083.
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Basic information
Original name Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory
Authors TESSAROTTO, Massimo (380 Italy, belonging to the institution) and Claudio CREMASCHINI (380 Italy, belonging to the institution).
Edition SYMMETRY-BASEL, Švýcarsko, 2022, 2073-8994.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10308 Astronomy
Country of publisher Switzerland
Confidentiality degree is not subject to a state or trade secret
WWW URL
RIV identification code RIV/47813059:19630/22:A0000212
Organization unit Institute of physics in Opava
Doi http://dx.doi.org/10.3390/sym14102083
UT WoS 000875310900001
Keywords in English Einstein-Hilbert variational principle; Hamiltonian theory of GR; ADM Hamiltonian theory; manifest covariance
Tags FÚ, RIV23
Tags International impact, Reviewed
Changed by Changed by: Mgr. Pavlína Jalůvková, učo 25213. Changed: 31/1/2023 11:46.
Abstract
The implications of the principles of general and manifest covariance, together with those of the objectivity principle, are considered for the purpose of establishing a DeDonder-Weyl-type Hamiltonian variational formulation for classical general relativity. Based on the analysis of the Einstein-Hilbert variational principle, it is shown that only synchronous variational principles permit the construction of fully 4-tensor Lagrangian and Hamiltonian theories of this type. In addition, the possible validity of an extended Hamiltonian formulation in which Lagrangian variables include also the Ricci tensor is investigated and shown to occur provided the classical cosmological constant is non-vanishing.
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