Kerr时空中光子轨道的一种新的快速计算程序
A Fast New Public Code for Computing Photon Orbits in a Kerr Spacetime
摘要：
相对论性辐射转移问题需要计算弯曲时空中的光子轨迹。我们提出了一种新的技术，快速和准确的计算零测地线的克尔度规。从汉密尔顿-雅可比方程的运动方程直接减少到卡尔森的椭圆积分，简化代数运算，并允许所有坐标计算半解析的第一次。我们讨论的方法，它的实现在一个免费的FORTRAN代码，和它的应用玩具问题的文献。
英文摘要：
Relativistic radiative transfer problems require the calculation of photon trajectories in curved spacetime. We present a novel technique for rapid and accurate calculation of null geodesics in the Kerr metric. The equations of motion from the Hamilton-Jacobi equation are reduced directly to Carlson's elliptic integrals, simplifying algebraic manipulations and allowing all coordinates to be computed semi-analytically for the first time. We discuss the method, its implementation in a freely available FORTRAN code, and its application to toy problems from the literature.
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