Geodesic motion and scattering in the field of a Kaluza–Klein dyon

Abstract

The Kaluza–Klein dyon is the only stationary solution of the sourceless Jordan–Thiry field equations with a constant scalar field. The geodesic motion of photons and charged test particles in this five-dimensional space-time is discussed, and the classical cross section for forward scattering of a charged particle is computed.

Light paths of normal and phantom Einstein-Maxwell-dilaton black holes

“…In the hope that these numerical solutions would be extended to other massive deflectors, some authors resorted to analytic approximate solutions [23,24,[36][37][38]. In the case of relativistic images these methods are valid if the angular position θ of the image is small enough to allow for series expansions.…”