Self-interaction in the Bopp-Podolsky electrodynamics: Spacetimes with angular defects

TL;DR

This paper studies the self-interaction energy of a charge in Bopp-Podolsky electrodynamics within spacetimes containing topological defects, revealing finite energies without renormalization.

Contribution

It provides explicit calculations of self-interaction potential energy for charges in spacetimes with cosmic string and monopole defects within Bopp-Podolsky theory, highlighting the effects of angular defects.

Findings

Self-interaction energy depends on angular defect despite Bopp-Podolsky parameter.

Energy remains finite everywhere, eliminating the need for renormalization.

Behavior differs from standard Maxwell electrodynamics due to the Bopp-Podolsky model.

Abstract

We consider the self-interaction phenomenon in the framework of the Bopp-Podolsky electrodynamics. In the present paper, we obtain the self-interaction potential energy of a charge at rest for the spacetimes with topological defects of two types: for the axially symmetric spacetime of the straight cosmic string and the spherically symmetric global monopole spacetime. It is shown that the behavior of this expression depends essentially on the angular defect, in spite of the Bopp-Podolsky model parameter, which plays the role of a scale factor. In contrast with the usual Maxwell electrodynamics, the self-interaction energy for the Bopp-Podolsky electrodynamics appears to be finite everywhere and the standard renormalization procedure is not required.