Bi-conformal symmetry and static Green functions in the higher-dimensional Reissner-Nordstrom spacetimes

TL;DR

This paper explores bi-conformal symmetry in higher-dimensional Reissner-Nordstrom black holes to derive static scalar Green functions, revealing new symmetries and solutions in these complex spacetimes.

Contribution

The study introduces bi-conformal transformations that relate static scalar fields in different Reissner-Nordstrom metrics, enabling the derivation of Green functions in higher dimensions.

Findings

Existence of bi-conformal transformations linking different black hole parameters

Explicit form of static scalar Green functions in higher-dimensional spacetimes

Enhanced understanding of scalar fields near charged black holes

Abstract

We study a static scalar massless field created by a source located near an electrically charged higher dimensional spherically symmetric black hole. We demonstrated that there exist bi-conformal transformations relating static field solutions in the metric with different parameters of the mass M and charge Q. Using this symmetry we obtain the static scalar Green function in the higher dimensional Reissner-Nordstrom spacetimes.