论文标题
无效的大地测量学，准模式和与高维的爱因斯坦 - 杨米尔斯平台中的阴影的对应关系
Null geodesics, quasinormal modes and the correspondence with shadows in high-dimensional Einstein-Yang-Mills spacetimes
论文作者
论文摘要
在高维的Einstein-yang-Mills黑洞的背景时空中研究了无质量标量场扰动的无效测量模式以及与阴影半径的对应关系。基于无效测量学的特性，我们获得了光子球的半径与五维和六维的爱因斯坦 - 杨麦尔米尔斯平台中的光子半径与地平线的半径之间的连接。尤其是在五维情况下，存在两个用于光子球体半径的分支，但只有事件范围外的分支满足圆形无效的测量学的状况。此外，我们没有发现阴影半径的反射点，也没有在准频率的复杂平面上的螺旋状形状，并且在高维Einstein-yang-yang-mills spacetightimes eikonal极限和阴影半径中的准模式与阴影半径之间的对应关系。
Null geodesics, quasinormal modes of a massless scalar field perturbation and the correspondence with shadow radii are investigated in the background spacetime of high-dimensional Einstein-Yang-Mills black holes. Based on the properties of null geodesics, we obtain the connection between the radius of a photon sphere and the radius of a horizon in the five- and six-dimensional Einstein-Yang-Mills spacetimes. Especially in the five-dimensional case, there exist two branches for the radius of a photon sphere, but only the branch outside the event horizon satisfies the condition of circular null geodesics. Moreover, we find no reflecting points of shadow radii and no spiral-like shapes on the complex plane of quasinormal frequencies and verify the correspondence between the quasinormal modes in the eikonal limit and shadow radii in high-dimensional Einstein-Yang-Mills spacetimes.
