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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@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 and Claudio CREMASCHINI. Background Independence and Gauge Invariance in General Relativity Part 1-The Classical Theory. \textit{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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