论文标题
一般相对论中的高纤维化功能和运动
Hyperelliptic functions and motion in general relativity
论文作者
论文摘要
黑洞空位的分析需要研究这些空间中颗粒和光的运动。在这里，测量方程的确切解决方案是选择的手段。通过椭圆函数分析了许多有趣的黑洞空位。但是，存在宇宙常数，较高的维度或替代重力理论通常需要在过椭圆函数方面进行分析。在这里，我们回顾了用于解决一般过滤案例的地质方程的方法和当前状态，并以属属$ g = 2 $的示例进行了说明。
Analysis of black hole spacetimes requires study of the motion of particles and light in these spacetimes. Here exact solutions of the geodesic equations are the means of choice. Numerous interesting black hole spacetimes have been analyzed in terms of elliptic functions. However, the presence of a cosmological constant, higher dimensions or alternative gravity theories often necessitate an analysis in terms of hyperelliptic functions. Here we review the method and current status for solving the geodesic equations for the general hyperelliptic case, illustrating it with set a of examples of genus $g=2$.
