Abstract
We study an electric field created by a static electric charge near the higher-dimensional Reissner-Nordstr\om black hole. The relation between the static Green functions on the $D$-dimensional Reissner-Nordstr\om background and on the $(D+2)$-dimensional homogeneous Bertotti-Robinson spacetime is found. Using the biconformal symmetry we obtain a simple integral representation for the static Maxwell Green functions in arbitrary dimensions. We show that in a four-dimensional spacetime the static Green function obtained by the biconformal method correctly reproduces known results. We also find a closed form for the exact static Green functions and vector potentials in the five-dimensional Reissner-Nordstr\om spacetime.
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