General Covariance and the Objectivity of Space-Time Point-Events: The Physical Role of Gravitational and Gauge Degrees of Freedom in General Relativity
| dc.creator | Lusanna, Luca | |
| dc.creator | Pauri, Massimo | |
| dc.date | 2003-01-10 | |
| dc.date.accessioned | 2026-07-07T03:27:31Z | |
| dc.date.available | 2026-07-07T03:27:31Z | |
| dc.description | (Abridged Abstract) This paper deals with a number of technical achievements that are instrumental for a dis-solution of the so-called {\it Hole Argument} in general relativity. The work is carried through in metric gravity for the class of Christoudoulou-Klainermann space-times, in which the temporal evolution is ruled by the {\it weak} ADM energy. The main results of the investigation are the following: 1) A re-interpretation of {\it active} diffeomorphisms as {\it passive and metric-dependent} dynamical symmetries of Einstein's equations, a re-interpretation that discloses their (up to now unknown) connection to gauge transformations on-shell; understanding such connection also enlightens the real content of the {\it Hole Argument}. 2) The utilization of Bergmann-Komar {\it intrinsic coordinates} for a peculiar gauge-fixing to the superhamiltonian and supermomentum constraints which embodies on shell a {\it physical individuation} of the mathematical points of $M^4$ as point-events in terms of the non-local intrinsic degrees of freedom of the gravitational field (Dirac observables). 3) A clarification of the notion of {\it Bergmann observable} that leads to a main conjecture asserting the existence of i) special Dirac observables which are also Bergmann observables; ii) tensorial (scalar) gauge variables. | |
| dc.description | 87 pages, latex | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0301040 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0301040 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/34463 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Astrophysics | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | General Covariance and the Objectivity of Space-Time Point-Events: The Physical Role of Gravitational and Gauge Degrees of Freedom in General Relativity | |
| dc.type | text |