2000/03/07 by L. Fatibene, M. Ferraris, M. Francaviglia +1 · 34 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Conserved quantity #Cosmology and Gravitation Theories #Covariant transformation #General relativity #Gravitation #Gravitational field #Hamiltonian (control theory) #Lagrangian #Mathematical physics #Mathematics #Noether's theorem #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #Theory of relativity #gr-qc
paper · pdf · doi:10.1063/1.1336514
published in Journal of Mathematical Physics 42(3), 1173-1195 (American Institute of Physics) · 43 pages, 3 figures, PlainTeX file
arxiv created 2000/03/07 · openalex publication_date 2001/03/01 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The Lagrangian proposed by York et al. and the covariant first-order Lagrangian for general relativity are reviewed. They both deal with the (vacuum) gravitational field on a reference background and were conjectured to be equivalent. The two corresponding actions are compared and we show that the first one can in fact be obtained from the latter under suitable hypotheses. A conditioned correspondence among Nöther conserved quantities of covariant first-order Lagrangian, Brown–York quasilocal energy and the standard ADM Hamiltonian is also established.