On one connection between Lorentzian and Euclidean metrics
| dc.creator | Iliev, Bozhidar Z. | |
| dc.date | 1998-02-22 | |
| dc.date | 1999-02-16 | |
| dc.date.accessioned | 2026-07-07T03:32:14Z | |
| dc.date.available | 2026-07-07T03:32:14Z | |
| dc.description | We investigate connections between pairs of (pseudo-)Riemannian metrics whose sum is a (tensor) product of a covector field with itself. A bijective mapping between the classes of Euclidean and Lorentzian metrics is constructed as a special result. The existence of such maps on a differentiable manifold is discussed. Similar relations for metrics of arbitrary signature on a manifold are considered. We point the possibility that any physical theory based on real Lorentzian metric(s) can be (re)formulated equivalently in terms of real Euclidean metric(s). | |
| dc.description | 21 standard (11pt, A4) LaTeX 2e pages. The packages AMS-LaTeX and amsfonts are required. Revised: all proofs are significantly simplified and new material is added | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9802057 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9802057 | |
| dc.identifier | Journal of Geomery and Physics, vol.34 No.3-4, 2000, pp. 321-335 | |
| dc.identifier | doi:10.1016/S0393-0440(99)00074-1 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36153 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.subject | Mathematical Physics | |
| dc.subject | Differential Geometry | |
| dc.title | On one connection between Lorentzian and Euclidean metrics | |
| dc.type | text |