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

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.

Added two references, typos corrected

References in corpus (3)

• Universal properties of the near-horizon optical geometry
• Black hole solutions in string theory
• Electrically charged fluids with pressure in Newtonian gravitation and general relativity in d spacetime dimensions: theorems and results for Weyl type systems

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• Self-force from conical singularity, without renormalization
• Higher Dimensional Cylindrical or Kasner Type Electrovacuum Solutions
• Higher-dimensional Buchdahl and Janis-Robinson-Winicour transformations in the Einstein-Maxwell system with a massless scalar field
• Self-force as a probe of global structure
• Self-force on a static particle near a black hole
• Self-action in Gravity
• Green's function of a massless scalar field in curved space-time and superluminal phase velocity of the retarded potential
• Asymptotically flat anisotropic space-time in 5 dimensions