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首页> 外文期刊>Physical review, D. Particles, fields, gravitation, and cosmology >Geodesics of electrically and magnetically charged test particles in the Reissner-Nordstr?m space-time: Analytical solutions
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Geodesics of electrically and magnetically charged test particles in the Reissner-Nordstr?m space-time: Analytical solutions

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We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstr?m space-time in terms of the Weierstra? ?, σ, and ζ elliptic functions. Based on the study of the polynomials in the ? and r equations, we characterize the motion of test particles and discuss their properties. The motion of charged test particles in the Reissner-Nordstr?m 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-Nordstr?m 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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