Unification of Gravitation and Electromagnetism in a Relativistic Version of Finslerian Geometry

Abstract

A theory of gravitation is considered in a relativistic version of Finslerian geometry. It is found that both the geodesic equations and the Finslerian analogue of the Einstein\'s field equations have terms that involve the electromagnetic field tensor, thereby pointing out to the geometrization of electrodynamics and hence to a unification of gravitation and electromagnetism. A possibility of a non-gravitational electromagnetic redshift is explored. Mical antiozonant were incorporated.