The Chrono-geometrical Structure of Special and General Relativity: a Re-Visitation of Canonical Geometrodynamics
| dc.creator | Lusanna, Luca | |
| dc.date | 2006-04-27 | |
| dc.date.accessioned | 2026-07-07T11:26:23Z | |
| dc.date.available | 2026-07-07T11:26:23Z | |
| dc.description | A modern re-visitation of the consequences of the lack of an intrinsic notion of instantaneous 3-space in relativistic theories leads to a reformulation of their kinematical basis emphasizing the role of non-inertial frames centered on an arbitrary accelerated observer. In special relativity the exigence of predictability implies the adoption of the 3+1 point of view, which leads to a well posed initial value problem for field equations in a framework where the change of the convention of synchronization of distant clocks is realized by means of a gauge transformation. This point of view is also at the heart of the canonical approach to metric and tetrad gravity in globally hyperbolic asymptotically flat space-times, where the use of Shanmugadhasan canonical transformations allows the separation of the physical degrees of freedom of the gravitational field (the tidal effects) from the arbitrary gauge variables. Since a global vision of the equivalence principle implies that only global non-inertial frames can exist in general relativity, the gauge variables are naturally interpreted as generalized relativistic inertial effects, which have to be fixed to get a deterministic evolution in a given non-inertial frame. As a consequence, in each Einstein's space-time in this class the whole chrono-geometrical structure, including also the clock synchronization convention, is dynamically determined and a new approach to the Hole Argument leads to the conclusion that "gravitational field" and "space-time" are two faces of the same entity. This view allows to get a classical scenario for the unification of the four interactions in a scheme suited to the description of the solar system or our galaxy with a deperametrization to special relativity and the subsequent possibility to take the non-relativistic limit. | |
| dc.description | 33 pages, Lectures given at the 42nd Karpacz Winter School of Theoretical Physics, "Current Mathematical Topics in Gravitation and Cosmology", Ladek, Poland, 6-11 February 2006 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0604120 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0604120 | |
| dc.identifier | ECONFC0602061:05,2006; Int.J.Geom.Meth.Mod.Phys.4:79-114,2007 | |
| dc.identifier | doi:10.1142/S0219887807001874 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/195809 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | The Chrono-geometrical Structure of Special and General Relativity: a Re-Visitation of Canonical Geometrodynamics | |
| dc.type | text |