Abstract
The singular field of a point charge has recently been described in terms of a new Green’s function of curved spacetime. This singular field plays an important role in the calculation of the self-force acting upon the particle. We provide a method for calculating the singular field and a catalog of expansions of the singular field associated with the geodesic motion of monopole and dipole sources for scalar, electromagnetic, and gravitational fields. These results can be used, for example, to calculate the effects of the self-force acting on a particle as it moves through spacetime.
- Received 27 February 2007
DOI:https://doi.org/10.1103/PhysRevD.75.104011
©2007 American Physical Society