Analytic treatment of geodesics in five-dimensional Myers-Perry space-times
Analytic treatment of geodesics in five-dimensional Myers-Perry space-times
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DOI：
10.1103/physrevd.86.084029
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发表时间：
2012-08
影响因子：
5
通讯作者：
V. Kagramanova;Stephan Reimers
中科院分区：
文献类型：
--
作者：
V. Kagramanova;Stephan Reimers
我们给出了具有等旋转参数的五维Myers-Perry时空中测地线方程的完全解析解.我们研究了极坐标方程和径向方程中的多项式，它们依赖于测试粒子的度量和守恒量的参数，并通过它们的零点来表征运动。我们证明了这种分析方法在测试粒子轨道上的有效性。
We present the complete set of analytical solutions of the geodesic equation in the five-dimensional Myers-Perry space-time with equal rotation parameter in terms of the Weierstra{\ss}' elliptic and Weierstra{\ss}' zeta and sigma functions. We study the underlying polynomials in the polar and radial equations which depend on the parameters of the metric and conserved quantities of a test particle and characterize the motion by their zeros. We exemplify the efficiency of the analytical method on the orbits of test particles.