论文标题
Schwarzschild镜头图像的扭曲
Distortions of images of Schwarzschild lensing
论文作者
论文摘要
我们将超级质量的深色对象$ M87^*$作为Schwarzschild镜头进行建模，并研究图像（主要，次要和相对论）的切向，径向和总（切向和径向）的变化（对切向和径向）的变化，以针对角度源位置的变化以及透镜源与观察者距离的比例变化。此外，我们研究了图像与角度源位置的总衍生物（相对于角源位置）的部分衍生物的行为。最后，我们将40个星系中心的超质量深色物体建模为Schwarzschild镜头，并研究图像的切向，径向和总增强型的变化，以与镜头质量与其距离的比率变化。这些研究产生了许多非直觉结果，这对于下一代事件地平线望远镜观测可能很重要。我们{\ em假设}存在一个失真参数，以使它们的签名的所有图像的符号总和相同消失。我们用弱和强力引力场中的Schwarzschild镜头的图像对此进行了测试，并发现这种具有审美吸引人的假设成功了。
We model the supermassive dark object $M87^*$ as a Schwarzschild lens and study the variations in tangential, radial, and total (the product of tangential and radial) magnifications of images (primary, secondary, and relativistic) against the changes in angular source position and the ratio of lens-source to the observer-source distance. Further, we study the behavior of partial derivatives (with respect to the angular source position) of total magnifications of images against the angular source position. Finally, we model supermassive dark objects at centers of 40 galaxies as Schwarzschild lenses and study the variations in tangential, radial, and total magnifications of images against the change in the ratio of mass of the lens to its distance. These studies yield many nonintuitive results which are likely to be significant for next generation Event Horizon Telescope observations. We {\em hypothesize} that there exists a distortion parameter such that their signed sum of all images of singular gravitational lensing of a source identically vanishes. We test this with images of Schwarzschild lensing in weak and strong gravitational fields and find that this esthetically appealing hypothesis succeeds with flying colors.
