标题： 黑洞的质量-自旋关系由双高频准周期振荡获得 显示英文标题

标题： Mass-spin relation of black holes obtained by twin high-frequency quasi-periodic oscillations

摘要： 该论文研究了包含3:2比率的双高频准周期振荡的X射线功率密度谱的黑洞的质量-自旋关系的唯一性和单调性。 发现对于测地线模型，质量-自旋关系的性质与观测频率无关，即它们与特定对象无关。 一些结果适用于所有测地线模型。 为了具体起见，这里研究了两种最常用的模型：3:1非线性摄动共振模型及其开普勒版本。 显示英文摘要

摘要： The paper studies the uniqueness and the monotonicity of the mass-spin relation of black holes the X-ray power density spectra of which contain twin high-frequency quasi-periodic oscillations in 3:2 ratio. It is found that for geodesic models the properties of the mass-spin relation are independent of the observed frequencies, i.e. they are independent of the particular object. Some results are valid for all geodesic models. For concreteness two of the most commonly used models are studied here: the 3 : 1 nonlinear epicyclic resonance model and its Keplerian version.