2022
Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory
TESSAROTTO, Massimo and Claudio CREMASCHINIBasic 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
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
References:
Impact factor
Impact factor: 2.700
RIV identification code
RIV/47813059:19630/22:A0000212
Organization unit
Institute of physics in Opava
UT WoS
000875310900001
EID Scopus
2-s2.0-85140736571
Keywords in English
Einstein-Hilbert variational principle; Hamiltonian theory of GR; ADM Hamiltonian theory; manifest covariance
Tags
International impact, Reviewed
Changed: 31/1/2023 11:46, Mgr. Pavlína Jalůvková
Abstract
In the original language
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.