Conservation Laws for Large Perturbations on Curved Backgrounds
| dc.creator | Petrov, A. N. | |
| dc.creator | Katz, J. | |
| dc.date | 1999-05-22 | |
| dc.date.accessioned | 2026-07-07T03:33:13Z | |
| dc.date.available | 2026-07-07T03:33:13Z | |
| dc.description | Backgrounds are pervasive in almost every application of general relativity. Here we consider the Lagrangian formulation of general relativity for large perturbations with respect to a curved background spacetime. We show that Noether's theorem combined with Belinfante's "symmetrization" method applied to the group of displacements provide a conserved vector, a "superpotential" and a energy-momentum that are independent of any divergence added to the Hilbert Lagrangian of the perturbations. The energy-momentum is symmetrical and divergenceless only on backgrounds that are Einstein spaces in the sense of A.Z.Petrov. | |
| dc.description | 13 pages, LaTeX, to appear in the Proceedings of the Conference on "Fundamental Interactions: From Symmetries to Black Holes" held in Brussels March 25 - 27, 1999 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9905088 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9905088 | |
| dc.identifier | Fundamental Interaction: From Symmetries to Black Holes (eds.: J.M. Frere, M. Henneaux, A. Servin & Ph. Spindel), p.p. 147-157. Brussels: Universite Libre de Bruxells (1999). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36533 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Conservation Laws for Large Perturbations on Curved Backgrounds | |
| dc.type | text |