论文标题
极端黑洞周围的混沌光散射
Chaotic light scattering around extremal black holes
论文作者
论文摘要
我们表明,在$ n \ geq 3 $静态极端黑洞的田野中光的散射在平面案例中是混乱的。这种极端物体的相对论动态减少了古典哈密顿系统。然后,DILATON耦合的某些值允许一个值应用于符号动力学和经典电位散射中的技术。这导致了$ \ log(N-1)$的拓扑熵的下限,从而证明了$ n \ geq 3 $黑洞的混乱散射的出现。
We show that the scattering of light in the field of $N\geq 3$ static extremal black holes is chaotic in the planar case. The relativistic dynamics of such extremal objects reduce to that of a classical Hamiltonian system. Certain values of the dilaton coupling then allow one to apply techniques from symbolic dynamics and classical potential scattering. This results in a lower bound on the topological entropy of order $\log(N-1)$, thus proving the emergence of chaotic scattering for $N \geq 3$ black holes.