Construction of the pseudo Riemannian geometry on the base of the Berwald-Moor geometry
| dc.creator | Garas'ko, G. I. | |
| dc.creator | Pavlov, D. G. | |
| dc.date | 2006-09-05 | |
| dc.date.accessioned | 2026-07-07T07:24:19Z | |
| dc.date.available | 2026-07-07T07:24:19Z | |
| dc.description | The space of the associative commutative hyper complex numbers, H_4, is a 4-dimensional metric Finsler space with the Berwald-Moor metric. It provides the possibility to construct the tensor fields on the base of the analytical functions of the H_4 variable and also in case when this analyticity is broken. Here we suggest a way to construct the metric tensor of a 4-dimensional pseudo Riemannian space (space-time) using as a base the 4-contravariant tensor of the tangent indicatrix equation of the Berwald-Moor space and the World function. The Berwald-Moor space appears to be closely related to the Minkowski space. The break of the analyticity of the World function leads to the non-trivial curving of the 4-dimensional space-time and, particularly, to the Newtonian potential in the non-relativistic limit. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0609009 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0609009 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116304 | |
| dc.subject | Mathematical Physics | |
| dc.title | Construction of the pseudo Riemannian geometry on the base of the Berwald-Moor geometry | |
| dc.type | text |