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arXiv 1008.2650gr-qc
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五维带电黑洞场中的粒子运动

Particle motion in the field of a five-dimensional charged black hole

Sarbari Guha, Pinaki Bhattacharya, Subenoy Chakraborty

摘要:

本文用比较的方法研究了五维带电黑洞附近中性粒子的测地线。有效势方法用于确定层位的位置,并研究径向和圆形轨迹。这也有助于我们分析径向和圆形轨道的稳定性。最内层稳定圆轨道的半径也已确定。与大质量粒子的情况相反,圆形轨道可能有多达8个可能的特定半径值,我们发现光子的圆形轨道的特定半径只有两个不同的值。最后,我们用动力系统分析方法确定了类时测地线和零测地线的临界点和轨迹的性质。

英文摘要:

In this paper, we have investigated the geodesics of neutral particles near a five-dimensional charged black hole using a comparative approach. The effective potential method is used to determine the location of the horizons and to study radial and circular trajectories. This also helps us to analyze the stability of radial and circular orbits. The radius of the innermost stable circular orbits have also been determined. Contrary to the case of massive particles for which, the circular orbits may have up to eight possible values of specific radius, we find that the photons will only have two distinct values for the specific radii of circular trajectories. Finally we have used the dynamical systems analysis to determine the critical points and the nature of the trajectories for the timelike and null geodesics.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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