The generalization of the born-infeld electrodynamics

Abstract

A unified theory of gravitation and electromagnetism is derived from a variational principle. The characteristic action function is an invariant density formed from the Ricci tensor of a semi-symmetric connection. The field equations have the same general character as those of the Born-Infeld electrodynamics and its generalization by Hoffmann and Infeld. The theory presupposes the existence of a fundamental length of the order of magnitude of the electron radius. The Einstein-Maxwell equations are obtained from a special choice of the action function.