论文标题
分析性的kludge波形对于Kerr-Newman Black Hole周围充电物体的极高质量比率
Analytic Kludge Waveforms for Extreme Mass Ratio Inspirals of Charged Object around Kerr-Newman Black Hole
论文作者
论文摘要
我们将带电的恒星质量紧凑型物体（CO）的灵感的``Analytic-kludge''（AK）波形得出大概的大概。由于该系统中的电荷而引起的灵感轨道的修改可以归因于三个来源：CO和MBH之间的电力，偶极电磁辐射的能量以及由MBH电荷引起的度量的变形。所有这些都是在轨道的基本频率中明确编码的，轨道的基本频率在弱场制度中进行了分析计算。通过计算带电荷和中性EMRI系统的波形与太空探测器Tianqin和Lisa之间的不匹配，我们表明系统中的微小电荷可以在波形上产生不同的烙印。最后，我们使用Fisher Information Matrix方法对电荷进行参数估计，并发现在合适的方案中，精度可以达到$ 10^{ - 5} $的水平。我们还研究了电荷对电荷参数估计的影响，在这种情况下，MBH电荷的影响可以通过其对灵感截止的影响很好地解释。
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.
