论文标题
标量粒子耦合到Chern-Simons在Kerr Black Hole Spacetime中不变的混沌运动
Chaotic motion of scalar particle coupling to Chern-Simons invariant in Kerr black hole spacetime
论文作者
论文摘要
首先，我们通过短波近似在Kerr黑洞时空中与Chern-Simons偶联的测试标量粒子耦合的运动方程式。我们已经通过应用包括庞加莱段，快速的Lyapunov指标，分叉图和吸引力的盆地在内的技术来分析测试耦合粒子的动力学行为。结果表明，在标量粒子的运动中与Chern-Simons相互作用，存在混乱的现象。随着耦合强度的提高，首先，耦合粒子的运动首先发生在混乱的运动和正常运动的一系列过渡中，然后落入地平线或逃脱到空间无穷大。因此，标量粒子和Chern-simons之间的耦合产生了标量黑洞时空中标量粒子的更丰富的动力学行为。
We present firstly the equation of motion for the test scalar particle coupling to the Chern-Simons invariant in Kerr black hole spacetime by the short-wave approximation. We have analyzed the dynamical behaviors of the test coupled particles by applying techniques including Poincaré sections, fast Lyapunov exponent indicator, bifurcation diagram and basins of attraction. It is shown that there exists chaotic phenomenon in the motion of scalar particle interacted with the Chern-Simons invariant in a Kerr black hole spacetime. With the increase of the coupling strength, the motion of the coupled particles for the chosen parameters first undergoes a series of transitions betweens chaotic motion and regular motion and then falls into horizon or escapes to spatial infinity. Thus, the coupling between scalar particle and Chern-Simons invariant yields the richer dynamical behavior of scalar particle in a Kerr black hole spacetime.
