史瓦西黑洞周围暗物质尖峰的速率分布及其对极端质量比旋进引力波的影响
Velocity Distribution of Dark Matter Spike around Schwarzschild Black Holes and Effects on Gravitational Waves from EMRIs
AI总结：
本文利用史瓦西几何中的相对论动力学计算暗物质尖峰的速率分布，发现其普遍特征并拟合为高斯分布，进而评估了动力学摩擦对EMRIs引力波的影响，揭示时域波形相移，为引力波探测星系中心暗物质提供新见解。
摘要：
暗物质构成了我们宇宙中物质的主要部分。尽管有令人信服的证据，暗物质的确切特征仍然难以捉摸。在主要的暗物质候选者中，弱相互作用大质量粒子可能在星系中心黑洞周围聚集形成陡峭的浓度分布。然而，由此产生的致密尖峰的暗物质分布仍不确定。在此，我们采用史瓦西几何中的相对论动力学，首次评估了此类尖峰内暗物质的速率分布。通过改变黑洞质量和暗晕参数，我们识别了暗物质分布中的普遍特征，并用高斯分布对其进行拟合。此外，我们展示了在相对论区域考虑暗物质速率分布时，动力学摩擦对暗物质尖峰内极端质量比旋进（EMRIs）产生的引力波的影响。我们的研究结果表明了时域波形中的相移，这可能为引力波实验探测星系中心的暗物质提供有用的见解。
英文摘要：
Dark matter (DM) constitutes the predominant portion of matter in our universe. Despite compelling evidence, the precise characteristics of DM remain elusive. Among the leading DM candidates are weakly-interacting massive particles, which may clump into steep concentrations around the central black holes of galaxies. However, DM profiles of the resulting dense spikes remain uncertain. Here we employ the relativistic dynamics in Schwarzschild geometry and first evaluate the velocity distributions of DM within such spikes. Through variations in black hole masses and dark halo parameters, we identify universal features in DM profiles and fit them with Gaussian distributions. Additionally, we illustrate with the impact of dynamical friction on gravitational waves generated by extreme-mass-ratio inspirals (EMRIs) within DM spikes, taking into account the velocity distribution of DM in the relativistic regime. Our findings demonstrate the phase shifts in the time-domain waveform, potentially providing useful insights for probing DM in galactic centers by gravitational-wave experiments.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
