Simultaneity and generalized connections in general relativity
| dc.creator | Minguzzi, E. | |
| dc.date | 2002-04-19 | |
| dc.date | 2003-05-23 | |
| dc.date.accessioned | 2026-07-07T06:22:41Z | |
| dc.date.available | 2026-07-07T06:22:41Z | |
| dc.description | Stationary extended frames in general relativity are considered. The requirement of stationarity allows to treat the spacetime as a principal fiber bundle over the one-dimensional group of time translations. Over this bundle a connection form establishes the simultaneity between neighboring events accordingly with the Einstein synchronization convention. The mathematics involved is that of gauge theories where a gauge choice is interpreted as a global simultaneity convention. Then simultaneity in non-stationary frames is investigated: it turns to be described by a gauge theory in a fiber bundle without structure group, the curvature being given by the Frölicher-Nijenhuis bracket of the connection. The Bianchi identity of this gauge theory is a differential relation between the vorticity field and the acceleration field. In order for the simultaneity connection to be principal, a necessary and sufficient condition on the 4-velocity of the observers is given. | |
| dc.description | RevTeX, 9 pages, 2 figures, 1 table. Previous title "The gauge nature of simultaneity". Classical and Quantum Gravity http://www.iop.org/EJ/journal/CQG | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0204063 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0204063 | |
| dc.identifier | Class.Quant.Grav. 20 (2003) 2443-2456 | |
| dc.identifier | doi:10.1088/0264-9381/20/11/332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95981 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Simultaneity and generalized connections in general relativity | |
| dc.type | text |