Motion and Structure of Singularities in General Relativity. II

Abstract

This, the second paper in a series on the motion and structure of a class of (elementary) singularities, extends the earlier work on ``free'' singularities to the interaction of these singularities with ``background'' gravitational and electromagnetic fields. The principle result is an unusual derivation of the Lorentz-Dirac equations of motion for a charged particle. The results do not depend on any ad hoc assumptions nor upon any renormalization, but follow uniquely from the Einstein-Maxwell equations applied to the elementary singularities. A concomitant result is the time evolution of the structure of the singularity.