论文标题
c-metric中的无效测量学
Null geodesics in the C-metric with cosmological constant
论文作者
论文摘要
在本文中，我们研究了具有宇宙常数的C-Metric中光子或无质量颗粒的运动。已知汉密尔顿 - 雅各比方程完全可分开，从而提供了类似卡特的数量$ q $，这是一个不变的运动。所有可能的轨迹根据代表粒子的角动量和能量缩放为$ q $的二维参数空间进行分类。精确的溶液在jacobi椭圆函数方面给出了C-级坐标。使用精确的溶液，我们发现光子表面周期轨道的示例。
In this paper we study the motion of photons or massless particles in the C-metric with cosmological constant. The Hamilton--Jacobi equations are known to be completely separable, giving a Carter-like quantity $Q$ which is a constant of motion. All possible trajectories are classified according to a two-dimensional parameter space representing the particle's angular momentum and energy scaled in units of $Q$. Exact solutions are given in the C-metric coordinates in terms of Jacobi elliptic functions. Using the exact solutions, we find examples of periodic orbits on the photon surface.
