Geometric Theory of Radiation

Abstract

Foundations of the standard theory of radiation by moving charge are analysed. The well-known difficulty concerned with energy conservation law is considered. An exact solution of Maxwell equations obtained by the method of variables separation, which expressses the field of a charge describing hyperbolic motion, is presented. Unlike the Lienard-Wiechert potentials for this case of motion, it displays abcence of radiation and, hence, does not lead to any difficulties mentioned above. It is concluded that exact solutions of Maxwell equations constitute the only correct approach to electromagnetic field of a moving charge. The new classical theory of radiation that may be composed on the basis of exact solutions seems to be purely geometric.