The electric field of a charge in the vicinity of a higher dimensional black hole

TL;DR

This paper calculates the electric field of a point charge near a higher dimensional black hole, showing that higher multipole moments vanish as the charge approaches the horizon, leaving only the Coulomb field.

Contribution

It provides a novel analysis of the electric field behavior of a point charge in higher dimensional black hole spacetimes, highlighting the suppression of multipole moments near the horizon.

Findings

Higher multipole moments vanish near the black hole horizon.

The electric field reduces to a Coulomb field at the horizon.

The study extends understanding of electromagnetic fields in higher-dimensional gravity.

Abstract

We find the electric field of a point charge in the presence of a higher dimensional black hole. As the charge is lowered to the horizon, all higher multipole moments go to zero, and only the Coulomb field remains.