In this paper, some dynamical properties of neutral and charged particles around a weakly magnetized five-dimensional static black string have been studied. The perturbation method was also used to calculate the Innermost Stable Circular Orbit (ISCO) of this metric in the presence of a magnetic field. The escape velocity of neutral and charged particles around the black string was derived. In the next step, the analytical solutions of the equations of motion were discussed and some possible orbits for particles in the black string space-time were plotted. Interestingly, it was found that adding an extra dimension has a slight influence on the effective potential and one term of the effective force. The magnitude of the new constant of motion (J) affects both the shape of the potential and existence of the stable circular orbits. In conclusion, by comparing a black hole and a black string, it is realized that the value of a new constant of motion causes slight but interesting differences.

中文翻译：

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黑弦周围的粒子动力学

本文研究了弱磁化五维静态黑弦周围中性粒子和带电粒子的一些动力学特性。在存在磁场的情况下，微扰方法也用于计算该度量的最内稳定圆轨道 (ISCO)。导出了围绕黑弦的中性粒子和带电粒子的逃逸速度。在下一步中，讨论了运动方程的解析解，并绘制了黑弦时空中粒子的一些可能轨道。有趣的是，发现增加一个额外的维度对有效势和有效力的一项有轻微影响。新运动常数 (J) 的大小会影响稳定圆形轨道的势能形状和存在性。综上所述，