Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory

@article{65825,
   author = {Tessarotto, Massimo and Cremaschini, Claudio},
   article_location = {Švýcarsko},
   article_number = {10},
   doi = {http://dx.doi.org/10.3390/sym14102083},
   keywords = {Einstein-Hilbert variational principle; Hamiltonian theory of GR; ADM Hamiltonian theory; manifest covariance},
   language = {eng},
   issn = {2073-8994},
   journal = {SYMMETRY-BASEL},
   title = {Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory},
   url = {https://www.mdpi.com/2073-8994/14/10/2083},
   volume = {14},
   year = {2022}
}

TY  - JOUR
ID  - 65825
AU  - Tessarotto, Massimo - Cremaschini, Claudio
PY  - 2022
TI  - Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory
JF  - SYMMETRY-BASEL
VL  - 14
IS  - 10
SP  - "2083-1"-"2083-28"
EP  - "2083-1"-"2083-28"
SN  - 20738994
KW  - Einstein-Hilbert variational principle
KW  - Hamiltonian theory of GR
KW  - ADM Hamiltonian theory
KW  - manifest covariance
UR  - https://www.mdpi.com/2073-8994/14/10/2083
N2  - 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.
ER  - 

TESSAROTTO, Massimo a Claudio CREMASCHINI. Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory. \textit{SYMMETRY-BASEL}. Švýcarsko, 2022, roč.~14, č.~10, s.~''2083-1''-''2083-28'', 28 s. ISSN~2073-8994. Dostupné z: https://dx.doi.org/10.3390/sym14102083.