标题： 带有准周期振荡的毛发Kerr黑洞的约束 显示英文标题

标题： Constraints on Hairy Kerr black hole with quasi-periodic oscillations

摘要： hairy Kerr 黑洞是一种新的黑洞解，描述了一个由轴对称流体包围的旋转时空。 它具有重要的观测意义，是天体物理黑洞的优秀候选者。 我们的研究调查了 hairy 电荷对 Hairy Kerr 黑洞（HKBH）时空中 X 射线双星的准周期振荡（QPOs）的影响。 采用相对论进动模型来计算围绕 HKBH 的吸积盘的三个主要频率。 我们将结果与五个 X 射线双星的观测进行比较，并使用马尔可夫链蒙特卡罗（MCMC）模拟来限制 hairy 电荷参数。 在 HKBH 时空中不存在 hairy 电荷存在的实质性证据。 因此，我们对变形参数施加观测约束，其值为$0<\alpha<0.07697$并且 hairy 电荷值范围从$0.27182<l_0/M<2.0$。 显示英文摘要

摘要： The Hairy Kerr black hole is a novel black hole solution that depicts a rotating space-time encompassed by an axisymmetric fluid. It has significant observational importance and is an excellent candidate for an astrophysical black hole. Our study investigates the impact of the hairy charge on the quasi-periodic oscillations (QPOs) of X-ray binaries in the Hairy Kerr black hole (HKBH) space-time. The relativistic precession model is employed to compute the three principal frequencies of the accretion disk encircling the HKBH. We compare our outcomes with the observations of five X-ray binaries and employ a Markov chain Monte Carlo (MCMC) simulation for restricting the hairy charge parameters. There is no substantial evidence for the existence of hairy charge in the HKBH space-time. Therefore, we are placing observational constraints on the deformation parameters with $0<\alpha<0.07697$ and hairy charge values ranging from $0.27182<l_0/M<2.0$.