Chaos around a black hole
Chaos around a black hole
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DOI：
10.1088/0264-9381/9/12/004
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发表时间：
1992-12
影响因子：
3.5
通讯作者：
L. Bombelli;E. Calzetta
中科院分区：
文献类型：
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作者：
L. Bombelli;E. Calzetta
作者应用Melnikov方法识别近可积系统的混沌相对论粒子运动的史瓦西黑洞。他们开始给一个自我包含的介绍Melnikov方法连同一些相关的背景动力系统。然后，他们证明了相对论性粒子是围绕史瓦西黑洞的不稳定圆形轨道，并且其中每一个都会在相空间中产生一个同宿轨道，当t达到+或-无穷大时，该轨道趋向于不稳定轨道。最后，作者使用Melnikov方法得出结论，在大多数黑洞度规的周期扰动下，同宿轨道变得混沌。
The authors apply the Melnikov method for identifying chaos in near integrable systems to relativistic particle motion around a Schwarzschild black hole. They start by giving a self-contained introduction to the Melnikov method together with some relevant background on dynamical systems. Then they show that a relativistic particle was unstable circular orbits around a Schwarzschild black hole, and that each one of these gives rise to a homoclinic orbit in phase space, which tends to the unstable one for t to +or- infinity . Finally, the authors use the Melnikov method to conclude that, under most periodic perturbations of the black-hole metric, the homoclinic orbit becomes chaotic.