Biconformal symmetry and static Maxwell fields near higher-dimensional\n black holes

2015/03/30 by Valeri P. Frolov, Frolov, Valeri P., Andrei Zelnikov +1
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.1503.08862

openalex publication_date 2015/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study an electric field created by a static electric charge near the\nhigher dimensional Reissner-Nordstrom black hole. The relation between the\nstatic Green functions on the D-dimensional Reissner-Nordstrom background and\non the (D+2)-dimensional homogeneous Bertotti-Robinson spacetime is found.\nUsing the biconformal symmetry we obtained a simple integral representation for\nthe static Maxwell Green functions in arbitrary dimensions. We show that in a\nfour-dimensional spacetime the static Green function obtained by the\nbiconformal method correctly reproduces known results. We also found a closed\nform for the exact static Green functions and vector potentials in the\nfive-dimensional Reissner-Nordstrom spacetime.\n

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