Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: Analytical solutions
Saskia Grunau, Valeria Kagramanova
Physical Review D
We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordström space-time in terms of the Weierstraß , σ and ζ elliptic functions. Based on the study of the polynomials in the ϑ and r equations we characterize the motion of test particles and discuss their properties. The motion of charged test particles in the Reissner-Nordström space-time is compared with the motion of neutral test particles in the field of a gravitomagnetic
... le. Electrically or magnetically charged particles in the Reissner-Nordström space-time with magnetic or electric charges, respectively, move on cones similar to neutral test particles in the Taub-NUT space-times.