On the selection of triads in the teleparallel geometry and Bondi's radiating metric
| dc.creator | Castello-Branco, K. H. | |
| dc.creator | Maluf, J. W. | |
| dc.date | 2000-03-01 | |
| dc.date.accessioned | 2026-07-07T03:24:48Z | |
| dc.date.available | 2026-07-07T03:24:48Z | |
| dc.description | A consistent Hamiltonian formulation of the teleparallel equivalent of general relativity (TEGR) requires the theory to be invariant under the global SO(3) symmetry group, which acts on orthonormal triads in three-dimensional spacelike hypersurfaces. In the TEGR it is possible to make definite statements about the energy of the gravitational field. In this geometrical framework two sets of triads related by a local SO(3) transformation yield different descriptions of the gravitational energy. Here we consider the problem of assigning a unique set of triads to the metric tensor restricted to the three-dimensional hypersurface. The analysis is carried out in the context of Bondi's radiating metric. A simple and original expression for Bondi's news function is obtained, which allows us to carry out numerical calculations and verify that a triad with a specific asymptotic behaviour yields the minimum gravitational energy for a fixed space volume containing the radiating source. This result supports the conjecture that the requirement of a minimum gravitational energy for a given space volume singles out uniquely the correct set of orthonormal triads. | |
| dc.description | Latex, 27 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0003001 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0003001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33475 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On the selection of triads in the teleparallel geometry and Bondi's radiating metric | |
| dc.type | text |