Chaotic scattering and capture of strings by a black hole
Chaotic scattering and capture of strings by a black hole
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黑洞对弦的混沌散射和捕获
DOI：
10.1088/0264-9381/16/11/316
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发表时间：
1999
影响因子：
3.5
通讯作者：
["A. Frolov
中科院分区：
文献类型：
--
作者：
["A. Frolov
我们考虑了史瓦西黑洞对圆形宇宙弦的散射和俘获。虽然它先验地是一个非常简单的轴对称二体问题，但它显示了混沌散射的所有特征。特别地，它包含一个不稳定周期解的分形集；一种所谓的奇怪的驱虫剂。我们研究了不同类型的轨迹，并根据不同的渐近结果得到了分离初始条件空间的盆地边界分形维数。我们还考虑了分形维数作为能量的函数，并讨论了从有序到混沌的过渡。
We consider scattering and capture of circular cosmic strings by a Schwarzschild black hole. Although it is a priori a very simple axially symmetric two-body problem, it shows all the features of chaotic scattering. In particular, it contains a fractal set of unstable periodic solutions; a so-called strange repellor. We study the different types of trajectories and obtain the fractal dimension of the basin boundary separating the space of initial conditions according to the different asymptotic outcomes. We also consider the fractal dimension as a function of energy, and discuss the transition from order to chaos.