Kerr-Newman时空中带电粒子的相对论尘埃吸积
Relativistic dust accretion of charged particles in Kerr-Newman spacetime
摘要：
我们描述了一个新的分析模型，从一个旋转的和带电的球壳的稀碰撞无等离子体到一个旋转的和带电的黑洞的吸积粒子。通过假设球壳处粒子的连续注入，并将黑洞和位于赤道面的无特征吸积盘视为粒子的被动汇，我们建立了一个稳态吸积模型。这可以作为一个玩具模型，等离子体喂养周围的充电和旋转黑洞吸积盘。因此，我们的新模型是E.特赫达，宾夕法尼亚州Taylor和J.C. Miller（2013年）。我们使用我们的广义模型来分析黑洞的净电荷，这将在一般情况下是非常小的，对等离子体吸积的影响。在我们模型的假设范围内，我们证明了只要等离子体的电磁场仍然可以忽略，黑洞的一个已经非常小的电荷通常仍然可以对等离子体的运动产生不可忽略的影响。此外，我们认为，形成的吸积盘的内部和外部的边缘强烈依赖于吸积等离子体的电荷。由此产生的吸积盘的可能配置进行了详细分析。
英文摘要：
We describe a new analytical model for the accretion of particles from a rotating and charged spherical shell of dilute collisionless plasma onto a rotating and charged black hole. By assuming a continuous injection of particles at the spherical shell and by treating the black hole and a featureless accretion disc located in the equatorial plane as passive sinks of particles we build a stationary accretion model. This may then serve as a toy model for plasma feeding an accretion disc around a charged and rotating black hole. Therefore, our new model is a direct generalization of the analytical accretion model introduced by E. Tejeda, P. A. Taylor, and J. C. Miller (2013). We use our generalized model to analyze the influence of a net charge of the black hole, which will in general be very small, on the accretion of plasma. Within the assumptions of our model we demonstrate that already a vanishingly small charge of the black hole may in general still have a non-negligible effect on the motion of the plasma, as long as the electromagnetic field of the plasma is still negligible. Furthermore, we argue that the inner and outer edges of the forming accretion disc strongly depend on the charge of the accreted plasma. The resulting possible configurations of accretion discs are analyzed in detail.
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