arXiv 2406.030832024-06hep-thgr-qc

Einstein-power-Yang-Mills引力中AdS黑洞的全息图像特征

Holographic image features of an AdS black hole in Einstein-power-Yang-Mills gravity

Xin-Yun Hu, Ke-Jian He, Xiao-Xiong Zeng

备注：: 24 pages, 19 figures; Accepted by Chinese Physics C

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AI总结：

该研究利用AdS/CFT对偶构建Einstein-power-Yang-Mills AdS黑洞的全息图像，分析温度、电荷参数和化学势对Einstein环半径与亮度的影响，并验证其与光子环位置一致。

摘要：

利用AdS/CFT对偶，我们研究了Einstein-power-Yang-Mills引力中一个AdS黑洞的全息图像。AdS边界上承载着一个高斯振荡源，该源在穿过体时空传播时，会在边界的另一侧诱发透镜响应。光学系统协助北极处的观察者连续捕获全息图像，这些图像呈现出一个被称为Einstein环的轴对称亮环。随着观察位置移动，亮环逐渐转变为发光弧，并最终过渡为一个光点。同时，我们考察了相关物理量变化对环的影响，并给出相应的亮度曲线。结果表明，随着温度T和非线性Yang-Mills电荷参数q增大，环半径也增大，而化学势u增大则导致环半径减小。然而，随着T、u和q数值增大，环的亮度曲线峰值始终下降，只是程度不同。将结果与几何光学结果比较后可以观察到，全息图像中环的位置与光子环的位置一致。

英文摘要：

By utilizing the AdS/CFT correspondence, we investigate the holographic image of an AdS black hole in Einstein-power-Yang-Mills gravity. The AdS boundary hosts a Gaussian oscillation source, which induces a lensed response on the opposite side of the boundary during propagation through bulk spacetime. The optical system assists observers at the north pole to continuously capture holographic images that show an axisymmetric bright ring known as the Einstein ring. As the observation position shifted, the bright ring gradually transformed into a luminous arc and eventually transitioned into a light point. Simultaneously, we examine the impact of variations in relevant physical quantity on the ring, and present the corresponding brightness curve. The results indicate that as the temperature $T$ and nonlinear Yang Mills charge parameter $q$ increase, the ring radius also increases, while an increase in the chemical potential $u$ leads to a decrease. However, the peak brightness curve of the ring invariably decreases as the values of $T$, $u$, and $q$ increase, albeit to varying degrees. Upon comparing the outcomes of geometric optics, it can be observed that the position of the ring in holography images is consistent with that of the photon ring.

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