Geodesic equations for a charged particle in the unified theory of gravitational and electromagnetic interactions |
| |
Authors: | V R Krym |
| |
Institution: | (1) St. Petersburg State University, St. Petersburg, Russia |
| |
Abstract: | A new model of gravitational and electromagnetic interactions is constructed as a version of the classical Kaluza-Klein theory
based on a five-dimensional manifold as the physical space-time. The velocity space of moving particles in the model remains
four-dimensional as in the standard relativity theory. The spaces of particle velocities constitute a four-dimensional distribution
over a smooth five-dimensional manifold. This distribution depends only on the electromagnetic field and is independent of
the metric tensor field. We prove that the equations for the geodesics whose velocity vectors always belong to this distribution
are the same as the charged particle equations of motion in the general relativity theory. The gauge transformations are interpreted
in geometric terms as a particular form of coordinate transformations on the five-dimensional manifold.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 119, No. 3, pp. 517–528, June, 1999. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|