标题： 带电粒子在被冷暗物质晕包围的黑洞周围的振荡 显示英文标题

标题： Charged Particle Oscillations around a Black Hole Surrounded by CDM Halos

摘要： HF QPOs是在包含黑洞或中子星的低质量X射线双星中观察到的最引人入胜的现象之一。 在本工作中，我们研究了在均匀磁场中嵌入的类施瓦茨希尔德黑洞附近带电粒子的动力学，并且该黑洞被CDM包围在所有方向上。 从而更深入地了解磁场和暗物质分布对致密天体附近可观测现象的影响。 我们首先提出了一种修改后的度规，该度规结合了CDM的影响…… 我们计算了基本振荡频率——径向、纬向、开普勒和拉莫尔，并展示了它们的变化如何取决于CDM和磁场强度的综合影响。 由此产生的频率结构使我们能够识别与HF QPO相关的共振半径，特别是微类星体中观察到的3:2比率的那些。 我们评估了几种QPO生成的理论模型，包括（ER）、相对论进动（RP）、潮汐破坏（TD）和扭曲盘（WD）模型。 对GRS 1915+105、H1743-322、XTE 1550-564和GRO 1655-40的观测数据进行比较拟合表明，在中等磁通量（$B' = 0.1$）存在的情况下，TD和WD模型对于HF QPO提供了最佳匹配，而在弱场情况下，除了ER以外的其他模型拟合更好。 我们的结果强调了在强场天体物理中同时包括磁场和暗物质（DM）效应的重要性，并支持将HF QPO作为黑洞环境的敏感探针的使用。 这项研究为探索粒子动力学、吸积盘结构……打开了新的视角。 显示英文摘要

摘要： HF QPOs are among the most intriguing phenomena observed in LMXBs containing BHs or neutron stars. In this work, we investigate charged particles' dynamics in the nearby of a Schwarzschild-like BH embedded in a uniform magnetic field and surrounded on all sides by CDM. Thereby gaining deeper insight into the influence of magnetic and DM distributions on observable phenomena near compact objects. We first present a modified metric, which incorporates the effects of a CDM ... We compute the fundamental oscillation frequencies-radial, latitudinal, Keplerian, and Larmor-and demonstrate how their variation depends on the combined influence of CDM and magnetic field strength. The resulting frequency structure allows us to identify resonance radii associated with HF QPOs, particularly those in 3:2 ratios observed in microquasars. We assess several theoretical models for QPO generation, including the (ER), Relativistic Precession (RP), Tidal Disruption (TD), and Warped Disk (WD) models. A comparative fit of observational data from GRS 1915+105, H1743-322, XTE 1550-564, and GRO 1655-40 demonstrate that the TD and WD models provide the best match for HF QPOs in the presence of moderate magnetic flux ($B' = 0.1$), while the other models except ER fit better in weak-field scenarios. Our results highlight the importance of including both magnetic and dark matter (DM) effects in strong-field astrophysics and support the use of HF QPOs as sensitive probes of BH environments. This study opens new perspectives for exploring particle dynamics, accretion disk structure ...