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arXiv 2602.08911gr-qchep-th
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Kerr-Bertotti-Robinson黑洞的动态、环振荡及吸积驱动的多准周期振荡

Dynamics, Ringdown, and Accretion-Driven Multiple Quasi-Periodic Oscillations of Kerr-Bertotti-Robinson Black Holes

Zhejiang Normal University(浙江师范大学);American University of the Middle East(中东美国大学);Madhabdev University(马哈德夫大学);Khazar University(阿塞拜疆可萨大学);Jamia Millia Islamia(贾米亚米利亚伊斯兰大学);University of KwaZulu-Natal(夸祖鲁-纳塔尔大学);National University of Sciences and Technology(国立科学与技术大学);Harbin Institute of Technology(哈尔滨工业大学)

G. Mustafa, Orhan Donmez, Dhruba Jyoti Gogoi, Sushant G. Ghosh, Ibrar Hussain, Chengxun Yuan

AI总结:

研究Kerr-Bertotti-Robinson黑洞的动态、环振荡及吸积驱动的多准周期振荡,揭示其参数对粒子运动的影响及吸积过程中的物理结构变化。

摘要:

我们研究了测试粒子围绕Kerr-Bertotti-Robinson(KBR)黑洞(BH)的运动,并探讨了质量M、旋转参数a和磁参数B这三个定义参数如何影响其动态。我们推导了稳定赤道圆轨道的能量和角动量的解析表达式,以及相应的径向和纬向振荡频率,作为M、a和B的函数。我们还检查了测试粒子接近稳定圆轨道的准周期振荡的主要特征,包括进动效应,如近日点进动和Lense-Thirring效应。最后,我们将结果与Kerr黑洞的结果进行比较。我们发现粒子运动受到黑洞参数的强烈影响。使用WKB方法,我们还研究了旋转KBR黑洞在外部磁场中的标量quasinormal模式,并表明磁场会增加阻尼,而旋转和角动量主要决定了振荡频率。此外,广义相对论建模的Bondi-Hoyle-Lyttleton(BHL)吸积到快速旋转的KBR黑洞上,显示出两种不同的物理结构,并在时间上交替转换。这些过程产生要么是强烈振荡的翻转翻转冲击锥,要么是近似静止的环形结构,其形成由黑洞自旋和磁场曲率控制。功率谱分析显示,这些配置产生低频和高频准周期振荡,为快速旋转X射线双星中观察到的多准周期振荡提供了一种统一的解释。

英文摘要:

We study the motion of test particles around the Kerr--Bertotti--Robinson (KBR) black hole (BH) and explore how the three defining parameters, the mass $M$, rotation parameter $a$, and magnetic parameter $B$ influence their dynamics. We derive analytical expressions for the energy and angular momentum of stable equatorial circular orbits, along with the corresponding radial and latitudinal oscillation frequencies, as functions of $M$, $a$, and $B$. We also examine the key features of the quasi-periodic oscillations (QPOs) of test particles near stable circular orbits, including the precession effects such as periastron precession and the Lense-Thirring effect. We compare our results with those corresponding to the Kerr BH. We find that the particle motion is strongly shaped by the BH parameters. Using a WKB approach, we also study scalar quasinormal modes of rotating KBR BH in an external magnetic field and show that the magnetic field increases damping, while rotation and angular momentum mainly set the oscillation frequencies. Alternatively, general relativistic modeling of Bondi-Hoyle-Lyttleton (BHL) accretion onto rapidly rotating KBR BH shows that two distinct physical structures emerge and cyclically transform into one another over time. These processes produce either a strongly oscillating flip-flop shock cone or a nearly stationary toroidal structure, with their formation governed by the BH spin and magnetic curvature. Power spectral analysis shows that these configurations give rise to low- and high-frequency QPO, providing a unified theoretical framework to understand how multiple QPO-like features can arise in rapidly spinning accreting systems.

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