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

Saskia Grunau and Valeria Kagramanova
Phys. Rev. D 83, 044009 – Published 2 February 2011

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 , 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 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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  • Received 29 November 2010

DOI:https://doi.org/10.1103/PhysRevD.83.044009

© 2011 American Physical Society

Authors & Affiliations

Saskia Grunau and Valeria Kagramanova

  • Institut für Physik, Universität Oldenburg, D-26111 Oldenburg, Germany

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Issue

Vol. 83, Iss. 4 — 15 February 2011

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