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arXiv · 1011.5399

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

Saskia Grunau·Valeria Kagramanova
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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 $\wp$, $σ$ and $ζ$ elliptic functions. Based on the study of the polynomials in the $\vartheta$ 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 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.

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Saskia Grunau, Valeria Kagramanova. 2010-11-24. Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: analytical solutions. https://doi.org/10.1103/physrevd.83.044009

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