旋转Konoplya-Zhidenko黑洞时空中的共振束缚轨道与kludge波形
Resonant bound orbits and kludge waveforms in rotating Konoplya-Zhidenko black hole spacetime
- Hunan Normal University（湖南师范大学）
- Yangzhou University（扬州大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究旋转KZ黑洞时空中的类时束缚运动与共振轨道，推导轨道参数与运动常数，构建赤道共振轨道的kludge波形，发现KZ形变影响共振位置与引力波信号，信号处于天基探测器相关频段。
AI中文摘要：
我们研究旋转Konoplya-Zhidenko（KZ）黑洞时空中的类时束缚运动、共振周期轨道及其引力波特征。利用哈密顿-雅可比方程的可分性，我们用$(p,e,z_1)$参数化偏心且倾斜的束缚轨道，推导对应的运动常数$(E,L_z,Q)$，并利用轨道频率识别共振构型。我们研究了一系列共振，包括倾斜轨道的径向-极向共振和赤道偏心轨道的径向-方位角共振。我们进一步为代表性的赤道共振轨道构建了物理缩放的四极kludge波形，并分析其频域特征。我们的结果表明，KZ形变会偏移共振位置，并修正轨道轨迹及产生的引力波信号。对应的特征应变主要位于毫赫兹波段，使这些信号处于天基引力波探测器相关的频率范围内。
英文摘要：
We investigate timelike bound motion, resonant periodic orbits, and their gravitational-wave signatures in the rotating Konoplya-Zhidenko (KZ) black hole spacetime. Using the separability of the Hamilton-Jacobi equation, we parameterize eccentric and inclined bound orbits by $(p,e,z_1)$, derive the corresponding constants of motion $(E,L_z,Q)$, and use the orbital frequencies to identify resonant configurations. We study a range of resonances, including radial-polar resonances of inclined orbits and radial-azimuthal resonances of equatorial eccentric orbits. We further construct physically scaled quadrupole-kludge waveforms for representative equatorial resonant orbits and analyze their frequency-domain characteristics. Our results show that the KZ deformation shifts the resonance locations and modifies both the orbital trajectories and the resulting gravitational-wave signals. The corresponding characteristic strain lies predominantly in the millihertz band, placing these signals in the frequency range relevant to space-based gravitational wave detectors.
