论文标题
流离失所的轨道和电磁黑洞二进制
Displaced orbits and electric-magnetic black hole binaries
论文作者
论文摘要
在存在磁场的情况下，带电颗粒的轨道可以从赤道平面移动。我们研究探针近似中磁性黑洞周围电动物体的圆形轨道。我们表明，以恒定的极角$θ$和恒定半径$ r $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ $。角度$θ$可以通过增加轨道粒子的电荷与质量比任意小，但是当这是一个reissner-nordstr \“ Om黑洞，条件$ q \ leq m $表示轨道仅表示轨道仅适用于$ |fracπ{2} | <2} | <2} | < {\ rm arccot}（2 \ sqrt {2}）$。我们表明，在$θ$和$ r $方向的小扰动下，圆形轨道是稳定的。我们还讨论了牛顿近似和电磁黑洞的二元系统，每个系统都描述了没有中央力的圆形轨道。
In presence of magnetic fields, the orbits of charged particles can be displaced from the equatorial plane. We study circular orbits of electrically charged massive objects around a magnetic black hole in the probe approximation. We show that there exist a one-parameter family of circular orbits at constant polar angle $θ$ and constant radius $r$, parameterized by the angular momentum. The angle $θ$ can be made arbitrarily small by increasing the charge-to-mass ratio of the orbiting particle, but when this is a Reissner-Nordstr\" om black hole, the condition $q\leq m$ implies that orbits exist only for $|θ-\fracπ{2}|< {\rm arccot}(2\sqrt{2})$. We show that the circular orbits are stable under small perturbations in the $θ$ and $r$ directions. We also discuss the Newtonian approximation and a binary system of electric and magnetic black holes, each one describing a circular orbit with no central force.
