Induced self-energy on a static scalar charged particle in the spacetime of a global monopole with finite core

TL;DR

This paper investigates the self-energy and self-force on a scalar charged particle in the spacetime of a global monopole with a finite core, revealing how topology and internal structure influence these quantities through explicit calculations.

Contribution

It provides a detailed analysis of the scalar self-energy and self-force considering the monopole's inner structure, with exact solutions for specific models.

Findings

Self-energy has two contributions: topology-induced and core-structure-induced.

Explicit expressions for self-energy and self-force are obtained for inside and outside the monopole.

Different models of the monopole's interior affect the self-energy calculations.

Abstract

We analyze the induced self-energy and self-force on a scalar point-like charged test particle placed at rest in the spacetime of a global monopole admitting a general spherically symmetric inner structure to 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 outside the monopole's core the scalar self-energy presents two distinct contributions. The first one is induced by the non-trivial topology of the global monopole considered as a point-like defect and the second is a correction induced by the non-vanishing inner structure attributed to it. For points inside the monopole, the self-energy also present a similar structure, where now the first contribution depends on the geometry of the spacetime inside. As illustrations of the general procedure adopted, two specific models, namely flower-pot and the ballpoint-pen, are considered for the region inside. For these two different situations, we were able to obtain exact expressions for the self-energies and self-forces in the regions outside and inside the global monopole.