Wada structures in a binary black hole system
Wada structures in a binary black hole system
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DOI：
10.1103/physrevd.98.084050
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发表时间：
2018-07
影响因子：
5
通讯作者：
'Alvar Daza;Jake O. Shipley;S. Dolan;M. A. Sanju'an
中科院分区：
文献类型：
--
作者：
'Alvar Daza;Jake O. Shipley;S. Dolan;M. A. Sanju'an
事件视界望远镜的一个关键目标是观察黑洞投下的阴影。最近的模拟表明，引力波的前身——双黑洞呈现出分形结构的阴影。本文利用非线性动力学技术研究二元阴影结构，将阴影视为开放哈密顿动力系统的出口盆地。我们应用最近开发的一种数值算法来证明Majumdar-Papapetrou双黑洞阴影的部分表现出Wada性质：一个盆地边界的任何点也在至少两个额外盆地的边界上。我们证明了该算法成功地区分了二元阴影的分形和规则（即非分形）部分。
A key goal of the Event Horizon Telescope is to observe the shadow cast by a black hole. Recent simulations have shown that binary black holes, the progenitors of gravitational waves, present shadows with fractal structure. Here we study the binary shadow structure using techniques from nonlinear dynamics, recognising shadows as exit basins of open Hamiltonian dynamical systems. We apply a recently developed numerical algorithm to demonstrate that parts of the Majumdar-Papapetrou binary black hole shadow exhibit the Wada property: any point of the boundary of one basin is also on the boundary of at least two additional basins. We show that the algorithm successfully distinguishes between the fractal and regular (i.e., non-fractal) parts of the binary shadow.