标题： 带电物体在Kerr-Newman黑洞周围的极端质量比旋进的解析模糊波形 显示英文标题

标题： Analytic Kludge Waveforms for Extreme Mass Ratio Inspirals of Charged Object around Kerr-Newman Black Hole

摘要： 我们推导了带电恒星级致密天体（CO）进入带电大质量Kerr-Newman（KN）黑洞（BH）的近似“解析-粗略”（AK）波形。 该系统中电荷对螺旋轨道的影响可归因于三个来源：CO与MBH之间的电场力，偶极电磁辐射的能量流动，以及MBH电荷引起的度规变形。 所有这些都在轨道的基本频率中明确编码，这些频率在弱场区域中被解析计算。 通过计算带电和中性EMRI系统相对于空间探测器天琴座和LISA的波形不匹配，我们表明系统中的微小电荷可以在波形上产生明显的痕迹。 最后，我们使用费舍尔信息矩阵方法对电荷进行参数估计，并发现精度在适当情况下可以达到$10^{-5}$的水平。 我们还研究了电荷对电荷参数估计的影响，其中MBH电荷的影响可以通过其对螺旋截止的影响来很好地解释。 显示英文摘要

摘要： We derive the approximate, ``analytic-kludge'' (AK) waveforms for the inspiral of a charged stellar-mass compact object (CO) into a charged massive Kerr-Newman (KN) black hole (BH). The modifications of the inspiral orbit due to the charges in this system can be attributed to three sources: the electric force between the CO and the MBH, the energy flow of the dipole electromagnetic radiation, and the deformation of the metric caused by the charge of the MBH. All these are encoded explicitly in the fundamental frequencies of the orbits, which are calculated analytically in the weak-field regime. By calculating the mismatch between the waveforms for charged and neutral EMRI systems with respect to space-borne detectors TianQin and LISA, we show that tiny charges in the system can produce distinct imprints on the waveforms. Finally, we perform parameter estimation for the charges using the Fisher information matrix method and find that the precision can reach the level of $10^{-5}$ in suitable scenarios. We also study the effects of charges on the parameter estimation of charge, where the effects from the charge of the MBH can be well explained by its effects on the cutoff of the inspiral.