论文标题
HF QPO的地球模型在空间中测试了黑洞的测试，反映了周围暗物质的效果
Geodesic Model of HF QPOs Tested for Black Holes in Spacetimes Reflecting the Effect of Surrounding Dark Matter
论文作者
论文摘要
Using the simple but robust model of a shell of dark matter (DM) around a Schwarzschild black hole (BH), represented by the mass ratio of the shell and BH $ΔM/M$, the shell extension $Δr_s$ and its inner radius $r_s$, we study the influence of DM on the spacetime structure and geodesic motion, and provide a classification of the BH+DM shell spacetimes according to the properties稳定的圆形大地测量学，控制开普勒磁盘。我们将注意力集中在围绕圆形测量学周围的上环状运动上，这些运动与X射线辐射中的观察现象有关，从开普勒积聚磁盘中，假定仅在重力上受到DM壳的影响。我们给出轨道和上环状运动的频率，并根据控制DM壳的参数讨论其特性。使用高频准二元振荡（HF QPOS）的标准测量模型中的频率，我们通过拟合来自某些微量值的HF QPO数据来测试DM的作用，并从某些微型银河核中与超级质量BHS进行超级质量BHS，而无需使用高质量的BHS，该变体的地理位置可阐述标准模型的标准模型。因此，我们对HF QPO的大地测量模型的适用性进行了强有力的审查，并提供了BH围绕DM的数量的限制。我们证明，测量模型可以很好地应用于大多数活性银河核的观察结果，对BHS周围无形物质的数量有很大限制。
Using the simple but robust model of a shell of dark matter (DM) around a Schwarzschild black hole (BH), represented by the mass ratio of the shell and BH $ΔM/M$, the shell extension $Δr_s$ and its inner radius $r_s$, we study the influence of DM on the spacetime structure and geodesic motion, and provide a classification of the BH+DM shell spacetimes according to the properties of the stable circular geodesics governing Keplerian disks. We focus our attention on the epicyclic motion around circular geodesics that can be related to observational phenomena in X-ray radiation from Keplerian accretion disks, assumed to be influenced by the DM shell only gravitationally. We give the frequencies of the orbital and epicyclic motions and discuss their properties in terms of the parameters governing the DM shell. Using the frequencies in relevant variants of the standard geodesic model of high-frequency quasiperiodic oscillations (HF QPOs), we test the role of DM by fitting the HF QPO data from some microquasars and active galactic nuclei with supermassive BHs where no variant of the geodesic model applied in the standard vacuum BH background is able to explain the data. We thus provide a robust review of the applicability of the geodesic model of HF QPOs, and also provide limits on the amount of DM around a BH. We demonstrate that the geodesic model could be well applied to most observations of active galactic nuclei, with strong restrictions on the amount of invisible matter around BHs.
