标题： 静态黑洞周围的磁场中薄盘的精确相对论模型 显示英文标题

标题： Exact relativistic models of thin disks around static black holes in a magnetic field

摘要： 在存在磁场的情况下，研究了中心静态黑洞与周围薄盘的精确叠加。 我们考虑了两种盘模型，一种是基于Kuzmin-Chazy-Curzon度规的无限延伸模型，另一种是基于第一个Morgan-Morgan盘的有限模型。 我们还分析了一个由黑洞、Kuzmin-Chazy-Curzon盘和两条代表喷流的杆组成的活动星系核的简单模型，在存在磁场的情况下。 为了解释盘的稳定性，我们考虑了由两个沿电磁测地线运动的反向旋转带电粒子无压流组成的盘物质（反向旋转模型）。 使用雷利判据，我们推导了粒子流中圆形轨道的稳定性条件。 还分析了磁场对盘物质特性和其稳定性的影响。 显示英文摘要

摘要： The exact superposition of a central static black hole with surrounding thin disk in presence of a magnetic field is investigated. We consider two models of disk, one of infinite extension based on a Kuzmin-Chazy-Curzon metric and other finite based on the first Morgan-Morgan disk. We also analyze a simple model of active galactic nuclei consisting of black hole, a Kuzmin-Chazy-Curzon disk and two rods representing jets, in presence of magnetic field. To explain the stability of the disks we consider the matter of the disk made of two pressureless streams of counterrotating charged particles (counterrotating model) moving along electrogeodesic. Using the Rayleigh criterion we derivate for circular orbits the stability conditions of the particles of the streams. The influence of the magnetic field on the matter properties of the disk and on its stability are also analyzed.