The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
The dynamics of a spinning particle in a linear in spin Hamiltonian approximation
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DOI：
10.1103/physrevd.94.024024
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发表时间：
2016-06
影响因子：
5
通讯作者：
G. Lukes-Gerakopoulos;M. Katsanikas;P. Patsis;Jonathan Seyrich
中科院分区：
文献类型：
--
作者：
G. Lukes-Gerakopoulos;M. Katsanikas;P. Patsis;Jonathan Seyrich
我们研究了质量为m的自旋试验粒子在质量为M的克尔黑洞的时空背景中运动的动力学系统的有序和混沌。在我们的研究中，这个系统近似于[E. Barausse和A. Buonanno，Phys.Rev. D 81，084024（2010）]。利用二维截面投影和四维Poincar截面上的颜色和旋转方法，研究了相应的相空间。发现并讨论了自旋哈密顿量的不可积性所导致的各种拓扑结构。而且，一个有趣的结果是，从粒子的无量纲自旋$S/（m M）=10^{-4}$及以下的值来看，系统的不可积性对粒子运动的影响似乎可以忽略不计。
We investigate for order and chaos the dynamical system of a spinning test particle of mass $m$ moving in the spacetime background of a Kerr black hole of mass M. This system is approximated in our investigation by the linear in spin Hamiltonian function provided in [E. Barausse, and A. Buonanno, Phys.Rev. D 81, 084024 (2010)]. We study the corresponding phase space by using 2D projections on a surface of section and the method of color and rotation on a 4D Poincar\'e section. Various topological structures coming from the non-integrability of the linear in spin Hamiltonian are found and discussed. Moreover, an interesting result is that from the value of the dimensionless spin $S/(m M)=10^{-4}$ of the particle and below, the impact of the non-integrability of the system on the motion of the particle seems to be negligible.