Schwarzschild黑洞周围薄盘的交互式可视化
Interactive visualization of a thin disc around a Schwarzschild black hole
摘要：
在广义相对论的第一堂课中，史瓦西时空是爱因斯坦场方程的最常讨论的解析解。不幸的是，很少有足够的时间来研究一些先进的例子光弯曲的光学后果。在本文中，我们提出了一个薄盘周围的史瓦西黑洞的视觉外观可以确定交互式的解析解的测地线方程处理当前的高性能图形处理单元。原则上，这种方法可以定制为时空中任何其他薄圆盘，并以封闭形式给出测地线。这里讨论的交互式可视化既可以用于广义相对论的第一门课程，仅用于演示目的，也可以作为具有OpenGL和编程语言基础知识的高级课程的热情学生的论文。
英文摘要：
In the first course of general relativity, the Schwarzschild spacetime is the most discussed analytic solution to Einstein's field equations. Unfortunately, there is rarely enough time to study the optical consequences of the bending of light for some advanced examples. In this paper, we present how the visual appearance of a thin disc around a Schwarzschild black hole can be determined interactively by means of an analytic solution to the geodesic equation processed on current high performance graphical processing units. This approach can, in principle, be customized for any other thin disc in a spacetime with geodesics given in closed form. The interactive visualization discussed here can be used either in a first course of general relativity for demonstration purposes only or as a thesis for an enthusiastic student in an advanced course with some basic knowledge of OpenGL and a programming language.
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