旋转黑洞周围电磁场中带电粒子的混沌运动
Chaotic motion of Charged Particles in an Electromagnetic Field Surrounding a Rotating Black Hole
摘要：
从一些黑洞候选者的观测数据表明电磁场在黑洞附近的重要性。强磁化的盘吸积作用可能起重要作用，盘表面可能形成大尺度的磁场。然后，我们预计黑洞时空的性质将通过黑洞附近的磁现象来揭示。我们将开始研究带电粒子在黑洞偶极磁场中的运动，它依赖于初始参数的设置。特别地，我们研究了旋转黑洞的自旋效应对囚禁在磁场线中的带电粒子运动的影响。利用庞加莱映射方法对粒子的运动轨迹进行了详细的分析，并给出了依赖于黑洞自旋的混沌特性。我们发现旋转黑洞对时空的拖曳作用削弱了混沌性质，并在某些初始参数下产生规则的运动轨迹，而对于慢旋转黑洞的情况，混沌性质在运动轨迹上占主导地位.拖曳效应可以近似地产生粒子运动的第四绝热不变量。
英文摘要：
The observational data from some black hole candidates suggest the importance of electromagnetic fields in the vicinity of a black hole. Highly magnetized disk accretion may play an importance rule, and large scale magnetic field may be formed above the disk surface. Then, we expect that the nature of the black hole spacetime would be reveiled by magnetic phenomena near the black hole. We will start to investigate the motion of a charged particle which depends on the initial parameter setting in the black hole dipole magnetic field. Specially, we study the spin effects of a rotating black hole on the motion of the charged particle trapped in magnetic field lines. We make detailed analysis for the particle's trajectories by using the Poincaré map method, and show the chaotic properties that depend on the black hole spin. We find that the dragging effects of the spacetime by a rotating black hole weaken the chaotic properties and generate regular trajectories for some sets of initial parameters, while the chaotic properties dominate on the trajectories for slowly rotating black hole cases. The dragging effects can generate the fourth adiabatic invariant on the particle motion approximately.
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