致密天体附近强引力场中的离赤道轨道
Off-equatorial orbits in strong gravitational fields near compact objects
摘要：
在黑洞或超致密恒星附近，粒子的运动受强引力场的支配。带电粒子也感受到由于恒星内部的电流或周围环绕的等离子体而产生的电磁力。我们研究的可能性，引力和电磁作用之间的相互作用可能允许稳定的，充满活力的约束带电粒子的赤道运动。这将代表众所周知的广义斯托默的“晕”轨道，这已经讨论了与行星磁层中的尘埃颗粒的运动。我们证明，这样的轨道存在，可以是天体物理相关时，一个紧凑的恒星或黑洞被赋予偶极型磁场。在Kerr-Newman解的情况下，数值分析表明相互连接的引力场和电磁场不允许黑洞外视界上存在稳定的晕轨道.这样的轨道要么隐藏在黑洞视界的内部，要么需要裸奇点的存在。
英文摘要：
Near a black hole or an ultracompact star, motion of particles is governed by strong gravitational field. Electrically charged particles feel also electromagnetic force arising due to currents inside the star or plasma circling around. We study a possibility that the interplay between gravitational and electromagnetic action may allow for stable, energetically bound off-equatorial motion of charged particles. This would represent well-known generalized Stormer's 'halo' orbits, which have been discussed in connection with the motion of dust grains in planetary magnetospheres. We demonstrate that such orbits exist and can be astrophysically relevant when a compact star or a black hole is endowed with a dipole-type magnetic field. In the case of Kerr-Newman solution, numerical analysis shows that the mutually connected gravitational and electromagnetic fields do not allow existence of stable halo orbits above the outer horizon of black holes. Such orbits are either hidden under the inner black-hole horizon, or they require the presence of a naked singularity.
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