Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: Analytical solutions

Saskia Grunau, Valeria Kagramanova
2011 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
more » ... 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.
doi:10.1103/physrevd.83.044009 fatcat:x3v5zzh2xzclxg3cirdjpt2rlq