AI 中文总结
研究围绕磁化恩斯特黑洞的测试粒子轨道引力波及波形，用缩放 - 涡旋表示分类束缚测地线，结合精确测地线运动与四极近似计算波形，结果显示固有磁场在GW信号留下特征，凸显GW天文学对探测磁化黑洞时空的潜力。
AI 中文摘要
我们研究了围绕磁化恩斯特黑洞的测试粒子的周期性类时轨道发出的引力波（GW）以及由其轨道动力学产生的引力波形。利用由三个整数$(z,w,v)$标记的缩放-涡旋表示对束缚测地线进行了系统分类。在一个将精确测地线运动与四极近似相结合的数值框架内计算引力波形，该框架非常适合极端质量比吸积（EMRIs）。该分析对于评估未来引力波观测检测磁场效应的能力特别相关。我们的结果表明，固有磁场在GW信号上留下了特征，突出了GW天文学作为探测磁化黑洞时空的有前途的途径。
英文摘要
We investigate gravitational wave (GW) emission from periodic timelike orbits of a test particle around a magnetized Ernst black hole and the gravitational waveforms generated by their orbital dynamics. The bound geodesics are systematically classified using the zoom-whirl representation labeled with three integers $(z,w,v)$. Gravitational waveforms are computed within a numerical framework that combines exact geodesic motion with the quadrupole approximation, which is well-suited to extreme mass-ratio inspirals (EMRIs). This analysis is particularly relevant for assessing the capability of future gravitational-wave observations to detect the effects of magnetic fields. Our results show that an intrinsic magnetic field imprints characteristic features on the GW signal, highlighting GW astronomy as a promising avenue for probing magnetized black hole spacetimes.
Comments11 pages, 8 captioned figures
