带电旋转正则黑洞的签名：准正则模、灰体因子与阴影
Signatures of charged rotating regular black holes: quasinormal modes, grey-body factors and shadows
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- Indian Institute of Technology, Kharagpur（印度理工学院卡拉格普尔分校）
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中文总结 AI 辅助
本研究构建带电旋转正则黑洞（ABG和BPR）并分析其准正则模、灰体因子和阴影，发现BPR与Kerr-Newman难以区分，而ABG特征明显，可用引力波和阴影观测区分模型。
中文摘要 AI 辅助
我们构建并研究了两个带电正则黑洞的旋转对应物的可能天体物理签名，即Ayón--Beato--García（ABG）和Balart--Panotopoulos--Rincón（BPR）时空——这些是通过Newman-Janis算法获得的。在验证了旋转度规的正则性之后，我们研究了无质量标量扰动，计算了准正则模（QNM）谱，并刻画了它们对自旋和电荷参数的依赖关系。计算了灰体因子（GBFs），并验证了QNM-GBF对应关系。还通过匹配渐近展开检查了低频超辐射放大因子。Lyapunov指数被用来将eikonal QNM阻尼率与光子轨道不稳定性联系起来。此外，根据阴影轮廓，我们利用事件视界望远镜（EHT）观测约束了旋转正则黑洞的参数空间。在所有探测中，我们发现旋转BPR和Kerr--Newman黑洞的行为几乎无法区分，而旋转ABG几何则表现出不同的扰动、散射和几何性质，特别是在自旋和电荷值较大时。我们的分析表明，利用引力波和阴影观测可能区分带电旋转正则黑洞模型。
英文摘要
We construct and study possible astrophysical signatures of the rotating counterparts of two charged regular black holes, namely the Ayón--Beato--García (ABG) and Balart--Panotopoulos--Rincón (BPR) spacetimes -- obtained using the Newman-Janis algorithm. After verifying the regularity of the rotating metrics, we study massless scalar perturbations, compute the quasinormal mode (QNM) spectra, and characterise their dependence on the spin and charge parameters. Grey-body factors (GBFs) are computed, and the QNM-GBF correspondence is verified. The low-frequency superradiant amplification factor is also examined via matched asymptotic expansions. The Lyapunov exponents are used to connect the eikonal QNM damping rate to photon-orbit instability. Additionally, from shadow profiles, we constrain the parameter space of rotating regular black holes using the Event Horizon Telescope (EHT) observations. Across all the probes, we find that the rotating BPR and Kerr--Newman black holes behave almost indistinguishably from one another, while the rotating ABG geometry exhibits distinct perturbative, scattering, and geometric properties, particularly at larger values of spin and charge. Our analysis indicates that differentiating between charged rotating regular black hole models may be possible using gravitational wave and shadow observations.
