AI 中文总结
该研究提出含引力与多普勒红移的史瓦西黑洞图像模拟框架，采用4阶龙格-库塔光线追踪算法，经收敛性测试验证，还与M87* EHT图像做了定性对比。
AI 中文摘要
随着事件视界望远镜（EHT）等先进望远镜的问世，直接拍摄黑洞阴影成为现实。模拟在重现黑洞外观、约束黑洞物理参数方面发挥重要作用。我们提出了一个简单框架，用于模拟被薄旋转吸积盘环绕的史瓦西黑洞图像，考虑引力红移与多普勒红移；采用基于4阶龙格-库塔格式积分光子测地线方程的光线追踪算法实现成像，通过收敛性测试验证了该数值方法的准确性，还简要讨论了弱场近似的有效性，并将模拟图像与M87*的EHT图像进行了定性对比。
英文摘要
With the arrival of advanced telescopes such as the Event Horizon Telescope (EHT), direct imaging of a black hole's shadow became a reality. Simulations play an important role in reproducing their appearance and constraining physical parameters of the black hole. We present a simple framework of simulating images of Schwarzschild black holes surrounded by thin, rotating accretion disks, accounting for gravitational and Doppler redshifts. A ray tracing algorithm based on integrating the photon geodesic equations with a 4th-order Runge-Kutta scheme is used for imaging. The accuracy of the numerical method is verified by convergence tests. A brief discussion of the validity of the weak field approximation is included and a qualitative comparison between the simulated images and the EHT image of M87* is presented.
Comments25 pages, 10 figures
