发表机构
Zhejiang University of Technology; United Center for Gravitational Wave Physics (UCGWP), Zhejiang University of Technology; Bahauddin Zakariya University, Vehari Campus; Khazar University（浙江工业大学; 引力波物理联合中心（UCGWP），浙江工业大学; 巴哈丁·扎卡里亚大学，韦哈里校区; 哈扎尔大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究探讨暗物质对Kerr黑洞周围周期轨道及引力波的影响，发现暗物质参数改变轨道半径、角动量与能量，并修改波形特征，特征应变集中于LISA的mHz频段。
AI 中文摘要
我们研究了在由完美流体暗物质包围的Kerr黑洞周围，大质量测试粒子的赤道类时运动及其相关的引力辐射。在暗物质流体的存在下，最内层稳定圆轨道的半径减小，而比角动量被修改，比能量随暗物质参数$\alpha$的增加而增加。我们使用有理频率比$q$计算周期类时轨道，采用$(z,w,v)$分类，该分类在保持拓扑类的同时被暗物质的存在所修改。我们分析了这些周期轨道对应的引力波形，发现暗物质修改了轨道振荡特征的时间与分布。对于一个代表性的极端质量比系统，相应的特征应变主要集中在与LISA相关的毫赫兹（mHz）频段。这些结果建立了暗物质引起的强场轨道动力学修改与相应引力波特征之间的直接联系。
英文摘要
We investigate equatorial timelike motion of a massive test particle and the associated gravitational radiation around a Kerr black hole surrounded by perfect fluid dark matter. In the presence of a dark matter fluid, the radius of the innermost stable circular orbit decreases, while the specific angular momentum is modified and the specific energy increases as the dark matter (DM) parameter, $α$, increases. We compute periodic timelike orbits using the rational frequency ratio $q$, with the $(z,w,v)$ classification, which is modified by the presence of DM while preserving the topological class. We analyze the gravitational waveforms corresponding to these periodic orbits and find that dark matter modifies the timing and distribution of the oscillatory features of the orbits. For a representative extreme-mass-ratio system, the corresponding characteristic strain is concentrated mainly in the millihertz (mHz) frequency band relevant to LISA. These results establish a direct connection between the dark-matter-induced modifications of strong-field orbital dynamics and the corresponding gravitational-wave signatures.
Comments13 pages, 5 figures, all comments are welcome
