In this paper we analyze the frequency shifts of the light emitted by particles describing stable circular geodesics around a static black hole immersed in an external magnetic field of arbitrary strength. This system is represented by the Ernst solution of the Einstein-Maxwell equations. The presence of the magnetic field and its magnitude affects both the geodesics and the red-blueshifts of the light emitted by neutral or charged particles orbiting the black hole. When the magnetic field is turned off we recover the characteristic redshifts coming from particles orbiting a Schwarzschild black hole.

中文翻译：

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围绕浸入强磁场的黑洞运行的粒子发出的光的红移

在本文中，我们分析了粒子发出的光的频移，这些粒子描述了沉浸在任意强度外部磁场中的静态黑洞周围的稳定圆形测地线。该系统由爱因斯坦-麦克斯韦方程组的恩斯特解表示。磁场的存在及其大小会影响测地线和围绕黑洞运行的中性或带电粒子发出的光的红蓝移。当磁场关闭时，我们恢复了来自围绕史瓦西黑洞运行的粒子的特征红移。