Wada structures in a binary black hole system

作     者：Álvar Daza Jake O. Shipley Sam R. Dolan Miguel A. F. Sanjuán 

作者机构：Nonlinear Dynamics Chaos and Complex Systems Group Departamento de Física Universidad Rey Juan Carlos Móstoles Madrid Tulipán s/n 28933 Spain Consortium for Fundamental Physics School of Mathematics and Statistics University of Sheffield Hicks Building Hounsfield Road Sheffield S3 7RH United Kingdom Department of Applied Informatics Kaunas University of Technology Studentu 50-415 Kaunas LT-51368 Lithuania Institute for Physical Science and Technology University of Maryland College Park Maryland 20742 USA 

出 版 物：《Physical Review D》 (物理学评论D辑：粒子、场、重力与宇宙学)

年 卷 期：2018年第98卷第8期

页      面：084050-084050页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Agencia Estatal de Investigación, AEI European Regional Development Fund, ERDF University of Sheffield UK Research and Innovation, UKRI Ministerio de Educación, Cultura y Deporte, MECD, (FMECD-ST-2016) Federación Española de Enfermedades Raras, FEDER, (FIS2016-76883-P) H2020-MSCA-RISE-2017, (FunFiCO-777740) Engineering and Physical Sciences Research Council, EPSRC, (EP/M025802/1) , (ST/P000800/1, ST/L000520/1) Horizon 2020 Framework Programme, H2020, (777740) 

主　　题：Chaos Classical black holes Classical mechanics General relativity Chaotic systems Fractals Chaos & nonlinear dynamics 

摘      要：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, recognizing 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., nonfractal) parts of the binary shadow.