Covariance, Geometricity, Setting, and Dynamical Structures on Cosmological Manifold
| dc.creator | Mashkevich, Vladimir S. | |
| dc.date | 2006-03-14 | |
| dc.date.accessioned | 2026-07-07T07:05:59Z | |
| dc.date.available | 2026-07-07T07:05:59Z | |
| dc.description | The treatment of the principle of general covariance based on coordinate systems, i.e., on classical tensor analysis suffers from an ambiguity. A more preferable formulation of the principle is based on modern differential geometry: the formulation is coordinate-free. Then the principle may be called ``principle of geometricity.'' In relation to coordinate transformations, there had been confusions around such concepts as symmetry, covariance, invariance, and gauge transformations. Clarity has been achieved on the basis of a group-theoretical approach and the distinction between absolute and dynamical objects. In this paper, we start from arguments based on structures on cosmological manifold rather than from group-theoretical ones, and introduce the notion of setting elements. The latter create a scene on which dynamics is performed. The characteristics of the scene and dynamical structures on it are considered. | |
| dc.description | 12 pages | |
| dc.identifier | https://arxiv.org/abs/gr-qc/0603053 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/0603053 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109865 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Covariance, Geometricity, Setting, and Dynamical Structures on Cosmological Manifold | |
| dc.type | text |