发表机构
National University of Sciences and Technology; National Astronomical Observatories, Chinese Academy of Sciences（国立科学技术大学; 中国科学院国家天文台）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究构建四种暗物质晕轮廓的修正时空框架，推导Sgr A*与M87*的相关天体物理量，结合EHT数据约束暗物质参数，分析混沌动力学的引力波印记。
AI 中文摘要
暗物质（DM）晕对超大质量黑洞（SMBHs）周围强场区域的引力影响在很大程度上仍未被探索。本研究尝试构建四种知名DM轮廓对应的晕修正时空框架，分别为Navarro-Frenk-White（NFW）、Moore、Burkert和Dehnen-(1,4,3/4)轮廓。我们推导了Sgr A*和M87*对应的光子球、阴影半径及最内稳定圆轨道（ISCO），通过将理论值与观测到的事件视界望远镜（EHT）数据对比来约束DM晕参数，并通过将参数得到的银河系和M87的位力质量与文献中已有的值进行对比来检验稳健性。此外，我们通过使用Painlevé-Gullstrand哈密顿框架构建受摄轨道动力学来扩展测地线分析，进而计算轨道轨迹、庞加莱截面和有限时间李雅普诺夫指数。这些混沌动力学在引力波中留下了独特印记，包括相位不规则性和振幅调制。
英文摘要
The gravitational influence of dark matter (DM) halos on the strong-field regime around supermassive black holes (SMBHs) remains largely unexplored. In the present work, we try to make a framework of the halo-modified space times for four well-known DM profiles including the Navarro Frenk-White (NFW), Moore, Burkert, and Dehnen-(1,4,3/4) profiles, respectively. We derive the corresponding photon spheres, shadow radii, and innermost stable circular orbits (ISCO) for the Sgr A* and M87*. We then constrain the DM halo parameters by comparing the theoretical values with the observed Event Horizon Telescope (EHT) data, and the robustness was checked by comparing the obtained virial mass of the Milky Way and M87 from the parameters with the values already present in the literature. In addition to this we extend the geodesic analysis by formulating the perturbed orbital dynamics using a Painlevé-Gullstrand Hamiltonian framework, and as a result we compute orbital trajectories, Poincaré sections, and finite-time Lyapunov ex ponents. These chaotic dynamics leave distinct imprints on gravitational waveforms, including phase irregularities and amplitude modulations.
Comments20 pages, 12 figures
