Scalar and electromagnetic fields of static sources in higher dimensional Majumdar-Papapetrou spacetimes

TL;DR

This paper derives exact Green's functions for scalar and electromagnetic fields from static sources in higher-dimensional Majumdar-Papapetrou spacetimes and calculates the resulting forces between charges near charged black holes.

Contribution

It provides explicit Green's functions and force calculations in higher-dimensional Majumdar-Papapetrou backgrounds, extending previous lower-dimensional results.

Findings

Exact static Green's functions are obtained.

Forces between charges are computed in higher dimensions.

Results apply to multiple black hole configurations.

Abstract

We study scalar massless and electromagnetic fields from static sources in a static higher dimensional spacetime. Exact expressions for static Green's functions for such problems are obtained in the background of the Majumdar-Papapetrou solutions of the Einstein-Maxwell equations. Using this result we calculated the force between two scalar or electric charges in the presence of one or several extremely charged black holes in equilibrium in the higher dimensional spacetime.