In this paper, we consider a rotating black hole with electric and magnetic monopole charges that moves in a static homogeneous electromagnetic field. We assume that both the charges and the fields are weak, so that they have no effect on the spacetime geometry, which is described by the Kerr metric. We present exact solutions to Maxwell’s equations describing the field of a charged rotating black hole moving in an external field background. We use these solutions to calculate the energy, momentum, and angular momentum fluxes of the electromagnetic field into the black hole. Using these results, we obtain expressions for the torque and force acting on the moving charged rotating black hole arising as a result of its interaction with the external electromagnetic field. We calculate these quantities both in the frame comoving with the black hole and in the frame of the external background field. We use this result to derive the equations that govern the change in the black hole’s mass and spin as well as the motion of the black hole. We provide exact solutions for specific cases which illustrate the role of charge and spin on the motion of the black hole.

中文翻译：

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均匀电磁场中弱带电旋转黑洞的运动


在本文中，我们考虑一个带有电单极电荷和磁单极电荷的旋转黑洞，它在静态均匀电磁场中移动。我们假设电荷和场都很弱，因此它们对克尔度量描述的时空几何没有影响。我们提出了麦克斯韦方程组的精确解，该方程组描述了在外场背景中移动的带电旋转黑洞的场。我们使用这些解来计算进入黑洞的电磁场的能量、动量和角动量通量。利用这些结果，我们获得了作用在移动带电旋转黑洞上的扭矩和力的表达式，该扭矩和力是由于其与外部电磁场相互作用而产生的。我们在与黑洞共动的框架和外部背景场的框架中计算这些量。我们利用这个结果推导出控制黑洞质量和自旋变化以及黑洞运动的方程。我们为具体情况提供精确的解决方案，说明电荷和自旋对黑洞运动的作用。