Abstract
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 , , and elliptic functions. Based on the study of the polynomials in the and 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 monopole. 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.
2 More- Received 29 November 2010
DOI:https://doi.org/10.1103/PhysRevD.83.044009
© 2011 American Physical Society