标题： 带有暗物质微尖的引力波：综合效应 显示英文标题

标题： Gravitational waves with dark matter minispikes: the combined effect

摘要： 研究表明，围绕中等质量黑洞（IMBH）的暗物质（DM）微晕可以重新分布为一个尖峰，称为DM微尖峰。我们考虑了一个中等质量比的旋进系统，该系统包含一个位于非湮灭DM粒子的DM微尖峰中的IMBH，以及一个绕其运行的小黑洞（BH）。我们研究了该系统产生的引力波（GWs），并综合考虑了微尖峰的引力、动力摩擦和吸积效应，分析了波形并计算了由此引起的时差和相位差。我们发现，在一定频率范围内，系统的旋进时间因中心IMBH较小和DM密度较大而显著减少。对于中心IMBH为$10^5M_\odot$的情况，合并时间会提前，这可以通过LISA、Taiji和Tianqin区分。我们重点关注吸积效应，并将其与引力和摩擦效应进行比较。我们发现，吸积质量相对于小BH的初始质量来说是一个小量，与摩擦相比，吸积效应不明显。然而，由吸积引起的累积相位偏移足够大，可以被LISA、Taiji和Tianqin检测到，这表明在引力波探测中不能忽略吸积效应。 显示英文摘要

摘要： It was shown that the dark matter(DM) minihalo around an intermediate mass black hole(IMBH) can be redistributed into a cusp, called the DM minispike. We consider an intermediate-mass-ratio inspiral consisting of an IMBH harbored in a DM minispike with nonannihilating DM particles and a small black hole(BH) orbiting around it. We investigate gravitational waves(GWs) produced by this system and analyze the waveforms with the comprehensive consideration of gravitational pull, dynamical friction and accretion of the minispike and calculate the time difference and phase difference caused by it. We find that for a certain range of frequency, the inspiralling time of the system is dramatically reduced for smaller central IMBH and large density of DM. For the central IMBH with $10^5M_\odot$, the time of merger is ahead, which can be distinguished by LISA, Taiji and Tianqin. We focus on the effect of accretion and compare it with that of gravitational pull and friction. We find that the accretion mass is a small quantity compared to the initial mass of the small BH and the accretion effect is inconspicuous compared with friction. However, the accumulated phase shift caused by accretion is large enough to be detected by LISA, Taiji and Tianqin, which indicate that the accretion effect can not be ignored in the detection of GWs.