发表机构
College of Physics, Guizhou University（贵州大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究通过X射线双星的高频准周期振荡数据，利用贝叶斯推断约束带电蜂巢黑洞参数，发现洛伦兹破缺效应无显著统计证据，且HFQPO观测无法区分洛伦兹破缺与电荷效应。
AI 中文摘要
我们研究了具有自发洛伦兹破缺效应的静态球对称带电蜂巢黑洞的强场轨道动力学。对零测地线和类时圆测地线的分析给出了光子球半径、最内层稳定圆轨道（ISCO）半径以及测试粒子的特征轨道频率。在用于高频准周期振荡（HFQPO）的相对论进动模型中，观测到的孪生峰频率由完整的基本参数集$M$、$X=r/M$、$l_1$、$l_2$和$Q_0/M$决定。其中，$l_1$、$l_2$和$Q_0/M$仅以组合形式进入频率表达式，导致固有的参数简并。为此，引入有效参数集$\Theta=(M,X,C,\beta)$来表征这些复合贡献。使用来自三个黑洞X射线双星系统（GRO J1655--40、XTE J1550--564和GRS 1915+105）的HFQPO观测数据进行了贝叶斯MCMC参数推断。复合参数$C$的68%置信区间均包含Reissner--Nordström极限$C=1$，表明在我们的模型假设下，没有统计显著的净洛伦兹破缺修正。不同的三元组$(l_1,l_2,Q_0/M)$产生相同的QPO预测，因此仅凭HFQPO观测无法区分洛伦兹破缺效应和电荷相关效应；对这些基本量的精确约束需要更多、更精确的观测数据。
英文摘要
We investigate strong-field orbital dynamics for static spherically symmetric charged bumblebee black holes featuring spontaneous Lorentz-violating effects. Analysis of null and timelike circular geodesics yields the photon-sphere radius, the innermost stable circular orbit (ISCO) radius, and characteristic orbital frequencies for test particles. Within the relativistic precession model for high-frequency quasi-periodic oscillations (HFQPOs), observed twin-peak frequencies are governed by the full set of fundamental parameters $M$, $X=r/M$, $l_1$, $l_2$, and $Q_0/M$. Among them, $l_1$, $l_2$, and $Q_0/M$ enter frequency expressions only in combined forms, giving rise to intrinsic parameter degeneracy. An effective-parameter set $Θ=(M,X,C,β)$ is accordingly introduced to characterize these composite contributions. Bayesian MCMC parameter inference is carried out using HFQPO observational data from three black-hole X-ray binaries: GRO J1655--40, XTE J1550--564, and GRS 1915+105. The 68\% credible intervals of composite parameter $C$ all contain the Reissner--Nordström limit $C=1$, revealing no statistically significant net Lorentz-violating correction under our model assumptions. Distinct triples $(l_1,l_2,Q_0/M)$ yield identical QPO predictions, so HFQPO observations alone cannot disentangle Lorentz-violating and charge-related effects; precise constraints on these fundamental quantities require additional, more precise observational data.
