论文标题
在磁化的Kerr背景中带电的身体的共鸣交叉：极端质量比的类似物Inspiral
Resonance crossing of a charged body in a magnetized Kerr background: an analogue of extreme mass ratio inspiral
论文作者
论文摘要
我们研究了一个带电的身体围绕浸入外部均匀磁场的Kerr黑洞移动的带电体的共振交叉口。该系统可以用作弱不可依赖的极端质量比Inspiral（EMRI）的电磁类似物。特别是，磁场的存在使系统的保守部分在liouville的意义上是不可融合的，而电磁自我力量会导致带电的身体具有灵感。通过研究系统而没有自我强制，我们显示了近似类似Carter的常数的存在，并讨论了共振如何随扰动参数的函数而生长。然后，我们应用电磁自我来研究灵感中这些共振的交叉。在交叉期间，平均能量和角动量损失使我们能够为它们采用绝热近似。我们证明，这种绝热近似在定性上等同于瞬时自我力量演化，这表明绝热近似可能以足够准确的EMRI中描述共振交叉。
We investigate resonance crossings of a charged body moving around a Kerr black hole immersed in an external homogeneous magnetic field. This system can serve as an electromagnetic analogue of a weakly non-integrable extreme mass ratio inspiral (EMRI). In particular, the presence of the magnetic field renders the conservative part of the system non-integrable in the Liouville sense, while the electromagnetic self-force causes the charged body to inspiral. By studying the system without the self-force, we show the existence of an approximate Carter-like constant and discuss how resonances grow as a function of the perturbation parameter. Then, we apply the electromagnetic self-force to investigate crossings of these resonances during an inspiral. Averaging the energy and angular momentum losses during crossings allows us to employ an adiabatic approximation for them. We demonstrate that such adiabatic approximation provides results qualitatively equivalent to the instantaneous self-force evolution, which indicates that the adiabatic approximation may describe the resonance crossing with sufficiently accuracy in EMRIs.
