Motion and Structure of Singularities in General Relativity. II
- 1 November 1971
- journal article
- conference paper
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 12 (11) , 2319-2327
- https://doi.org/10.1063/1.1665538
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.Keywords
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