标题： 黑洞周围的磁旋转不稳定性 显示英文标题

标题： Magnetorotational Instability around a Rotating Black Hole

摘要： 研究了克尔时空中的磁旋转不稳定性（MRI），采用的是3+1的观点。 麦克斯韦方程被表示在一个沿开普勒轨道共转的圆周运动观察者坐标系中。 在快速旋转黑洞周围的MRI中存在较大的本征增长率。 由时空几何的旋转引起的“离心力”的增大以及磁场的快速变化。 因此，在极端克尔情况下，$r=r_{ms}$处的最大本征增长率大约是施瓦西情况下的十二倍。 显示英文摘要

摘要： The magnetorotational instability(MRI) in the Kerr spacetime is studied on a 3+1 viewpoint. The Maxwell's equations are expressed in a circularly orbiting observer's frame that co-rotates with matter in Keplerian orbits. There exist large proper growth rates in MRI around a rapidly rotating black hole. The large "centrifugal force" and the rapid variations of magnetic fields are caused by the rotation of spacetime geometry. As the result, in the extreme Kerr case the maximum proper growth rate at $r=r_{ms}$ becomes about twelve times as large as that in Schwartzshield case.