论文标题
在Schwarzschild时空重新访问时间表和无效的测量学：Weierstrass椭圆函数的一般表达
Revisiting timelike and null geodesics in the Schwarzschild spacetime: general expressions in terms of Weierstrass elliptic functions
论文作者
论文摘要
重新探讨了Schwarzschild Geodesics的理论。根据Weierstrass和Biermann的结果，我们得出了一个公式，该公式用Weierstrass椭圆函数来描述所有非径向，时型和无效轨迹。非常值得注意的是，即使它通过转折点，一个公式也适用于整个地质轨迹。使用此公式，我们得出沿着测量的适当和坐标时间的表达式。
The theory of Schwarzschild geodesics is revisited. Basing on a result by Weierstrass and Biermann, we derive a formula describing all non radial, timelike and null trajectories in terms of Weierstrass elliptic functions. Quite remarkably, a single formula works for an entire geodesic trajectory, even if it passes through turning points. Using this formula, we derive expressions for the proper and coordinate time along the geodesic.
