AI 中文总结
该研究在爱因斯坦幂-杨-米尔斯引力中构建旋转黑洞，通过分析其阴影、准正则模等，利用事件视界望远镜对M87\(^*\)和Sgr A\(^*\)的测量结果，约束杨-米尔斯电荷和幂参数，揭示了相关参数对黑洞特性的影响。
AI 中文摘要
在爱因斯坦幂-杨-米尔斯引力（EPYM）中，我们通过应用于球对称静态种子的纽曼-贾尼斯程序构建一个旋转黑洞，得到一个由自旋\(a\)、磁杨-米尔斯电荷\(Q\)和幂参数\(q\)控制的类克尔度规。我们分析视界结构和光子区域，并针对这些参数的不同值计算远程观察者看到的阴影。利用已发表的事件视界望远镜对M87\(^*\)和Sgr A\(^*\)的测量结果，我们从观测图像的角大小和史瓦西偏差\(\delta\)来约束杨-米尔斯电荷和幂参数。在麦克斯韦点\(q = 1\)时，结合两个源的自旋边缘化似然性在\(1\sigma\)下将电荷限制为\(Q \lesssim 0.26M\)，而在\(a = 0.7M\)处固定自旋带交叉仅从M87\(^*\)的角大小给出较弱的\(Q \lesssim 0.52M\)。当\(q \to 3/2\)时，约束减弱，此时阴影直径几乎对电荷不敏感。阴影半径还确定了高频下的极限吸收截面以及能量发射率，其受电荷抑制，受幂参数增强，并在近极端自旋下受到抑制。然后，我们根据Teukolsky型径向势上的领先阶温策尔-克拉默斯-布里渊（WKB）条件计算旋转背景上无质量标量的准正则模，发现振荡频率随着电荷或自旋增加而上升，阻尼率下降。幂参数在阴影大小及其电荷敏感性上留下印记，并且在准正则谱中原则上存在偏移，但低于当前探测器的分辨率。
英文摘要
Within Einstein power-Yang-Mills gravity (EPYM), we build a rotating black hole via the Newman-Janis procedure applied to the spherically symmetric static seed, obtaining a Kerr-like metric controlled by the spin \(a\), the magnetic Yang-Mills charge \(Q\), and the power parameter \(q\). We analyse the horizon structure and the photon region, and we compute the shadow as it appears to a remote observer for different values of these parameters. Using the published Event Horizon Telescope measurements of M87\(^*\) and Sgr A\(^*\), we constrain the Yang-Mills charge and the power parameter from the angular size and the Schwarzschild deviation \(δ\) of the observed images. At the Maxwell point \(q = 1\) the spin marginalized likelihood combining both sources bounds the charge to \(Q \lesssim 0.26\,M\) at \(1σ\), while the fixed-spin band intersection at \(a = 0.7\,M\) gives the weaker \(Q \lesssim 0.52\,M\) from the M87\(^*\) angular size alone. The bound weakens as \(q \to 3/2\), where the shadow diameter becomes nearly insensitive to the charge. The shadow radius also fixes the limiting absorption cross section at high frequencies and hence the energy emission rate, which is suppressed by the charge, enhanced by the power parameter, and suppressed at near-extremal spin. We then compute the quasinormal modes of a massless scalar on the rotating background from the leading-order Wentzel-Kramers-Brillouin (WKB) conditions on the Teukolsky type radial potential, finding that the oscillation frequency rises and the damping rate falls as the charge or spin increases. The power parameter leaves an imprint on the shadow size and its charge sensitivity and in the quasinormal spectrum the shift is in principle present but lies below the resolution of current detectors.
