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
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... 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