INDUCED ELECTROSTATIC SELF-INTERACTION IN THE SPACE–TIME OF A GLOBAL MONOPOLE WITH INNER STRUCTURE

Abstract

In this work we analyze the electrostatic self-energy and self-force on a pointlike electric-charged particle induced by a global monopole space–time considering an inner structure for it. In order to develop this analysis we calculate the three-dimensional Green function associated with this physical system. We explicitly show that for points inside and outside the monopole's core the self-energy presents two distinct contributions. The first is induced by the geometry associated with the space–time under consideration, and the second is a correction due to the nonvanishing inner structure attributed to it. Considering specifically the ballpoint pen model for the region inside, we are able to obtain exact expressions for the self-energies in the regions outside and inside the monopole's core.