论文标题
混乱及其在圆环般的黑洞中的侵犯
Chaos bound and its violation in the torus-like black hole
论文作者
论文摘要
在本文中，我们研究了混乱的变化在圆环状黑洞的两个区域，即靠近黑洞地平线的区域和距黑洞地平线一定距离的区域。粒子的角动量会影响有效的潜力，并影响粒子混沌行为的大小。因此，粒子的角动量在研究中很重要。粒子的角动量不仅会影响粒子平衡轨道位置，而且还会影响Lyapunov指数。随着粒子的角动量的增加，粒子平衡位置逐渐从黑洞地平线移开。在近黑洞的地平线地区，混乱的结合并未违反，但是，在远黑洞的地平线地区，混乱的结合被侵犯。此外，与具有地平线球形拓扑的带电广告黑洞不同，圆环状的黑洞具有地平线的圆环拓扑。
In this paper, we have studied the variation of the chaos bound in two regions of the torus-like black hole, i.e., the region close to the black hole horizon and the region at a certain distance from the black hole horizon. The angular momentum of the particle affects the effective potential and influences the magnitude of the chaotic behavior of the particle. Therefore, the angular momentum of particle is important in the study. The angular momentum of a particle not only affects the particle equilibrium orbital position, but also affects the Lyapunov exponent. As the angular momentum of the particle increases, the particle equilibrium position gradually moves away from the black hole horizon. In the near black hole horizon region, the chaos bound is not violated, however, at the far black hole horizon region, the chaos bound is violated. In addition unlike the charged AdS black hole which has a spherical topology of the horizon, the torus-like black hole has a toroidal topology of the horizon.
