Electrostatic Self-energy of a Charged Particle in the Surroundings of a Topologically Charged Black Hole in the Brane

TL;DR

This paper calculates the self-energy of a stationary point charge near a topologically charged black hole in a braneworld model, revealing both geometric and topological contributions to the energy.

Contribution

It introduces a novel calculation of self-energy in a braneworld black hole spacetime, highlighting the roles of geometry and topology.

Findings

Self-energy has two distinct contributions: geometric and topological.

Topological charge influences the electromagnetic self-energy.

Results enhance understanding of black hole physics in braneworld scenarios.

Abstract

We determine the self-energy for a point charge held stationary in a topologically charged black hole spacetime arising from the Randall-Sundrum II braneworld model, showing that it has two contributions, one of geometric origin and the other of topological one.