Electrostatics in a locally flat space with conical singularities

We calculate the potential of a pointlike source in a multicenter three-dimensional space–time and obtain general relations between the values of the regularized self-energy, force, and force moment. The self-action effects as well as the relative contribution of higher multipoles infinitely increase as the angle deficit increases. The results obtained are generalized to a system of parallel cosmic strings one of which carries a current. The case of string with a finite thickness is also considered.