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

Valeri P. Frolov and Andrei Zelnikov

Phys. Rev. D 85, 064032 – Published 21 March 2012

Abstract

We study massless scalar 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 calculate the force between two scalar or electric charges in the presence of one or several extremally charged black holes in equilibrium in the higher-dimensional spacetime.

Received 8 February 2012

DOI:https://doi.org/10.1103/PhysRevD.85.064032

Authors & Affiliations

Valeri P. Frolov^1,* and Andrei Zelnikov^2,†

¹Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1, and Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto, Japan
²Theoretical Physics Institute, Department of Physics, University of Alberta, Edmonton, Alberta, Canada T6G 2E1

^*vfrolov@ualberta.ca
^†zelnikov@ualberta.ca

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Vol. 85, Iss. 6 — 15 March 2012

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Physical Review D

covering particles, fields, gravitation, and cosmology