论文标题
黑孔的阿诺德扩散和地球动力学
Arnold diffusion and geodesic dynamics of blackholes
论文作者
论文摘要
在本文中，我们研究了在扰动的Schwarzschild或Kerr背景中移动的巨大粒子的混乱运动。我们发现三个新型轨道在不受干扰的情况下不存在。首先，我们发现围绕光子壳移动的变焦旋转轨道，同时表现出Arnold扩散：粒子的角动量和能量的大振荡。接下来，我们显示有界区域和无穷大之间的振荡轨道的存在，类似于牛顿三体问题。第三，我们发现在扰动的凯尔（Kerr）中，事件范围周围存在混乱的轨道，该轨道在接近事件后逃脱了。
In this paper, we study the chaotic motion of a massive particle moving in a perturbed Schwarzschild or Kerr background. We discover three novel orbits that do not exist in the unperturbed cases. First, we find zoom-whirl orbits moving around the photon shell which simultaneously exhibits Arnold diffusion: large oscillations of particle's angular momentum and energy. Next, we show the existence of oscillating orbits between a bounded region and infinity, analogous to Newtonian three-body problem. Thirdly, we find that in perturbed Kerr, there exists chaotic orbits around the event horizon that escapes the event horizon after approaching it.
