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

被引:101
作者
Grunau, Saskia [1 ]
Kagramanova, Valeria [1 ]
机构
[1] Carl von Ossietzky Univ Oldenburg, Inst Phys, D-26111 Oldenburg, Germany
来源
PHYSICAL REVIEW D | 2011年 / 83卷 / 04期
关键词
BLACK-HOLES; NUT; NEWMAN; FIELD;
D O I
10.1103/PhysRevD.83.044009
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstrom space-time in terms of the Weierstrass, p, sigma, and zeta elliptic functions. Based on the study of the polynomials in the v and r equations, we characterize the motion of test particles and discuss their properties. The motion of charged test particles in the Reissner-Nordstrom 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-Nordstrom 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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页数:16
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