论文标题
Kerr-de保姆的黑洞镜头
Black hole lensing in Kerr-de Sitter spacetimes
论文作者
论文摘要
我们使用雅各比椭圆函数得出了分析溶液，以重新访问Kerr-De保姆（KDS）和Kerr-De Sitter（RKDS）的空位中的绑定和几乎结合的光子轨道。利用我们获得的解决方案，我们在两个空间中进行了分析射线追踪。考虑到倾斜的局部静态观察者，我们已经获得了赤道磁盘的直接图像，镜头环和光子环。与n = 1图像相比，与n =（2,3）相对应的图像与临界曲线的相似度明显更接近。这突出了这些高阶图像作为一般相对论（GR）的强大测试场的显着潜力。此外，在两个空间中，我们已经获得了有关光子环结构的关键参数的分析解决方案，并详细介绍了这些参数。
We have derived analytical solutions using Jacobi elliptic functions for bound and nearly bound photon orbits in Kerr-de Sitter (KdS) and Kerr-de Sitter Revisited (RKdS) spacetimes. Leveraging our obtained solutions, we have conducted an analytic ray-tracing in both spacetimes. We have obtained direct images, lensing rings and photon rings for equatorial disks considering inclined locally static observers. Images corresponding to n=(2,3) exhibit a significantly closer resemblance to the critical curve as compared to the n=1 image. This highlights the remarkable potential of these higher-order images as robust testing grounds for General Relativity (GR). Furthermore in both spacetimes, we have obtained analytical solutions for the critical parameters governing the structure of the photon ring and analyzed these parameters in details.
