Regular and chaotic motion in general relativity: The case of an inclined black hole magnetosphere

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

Kopáek, Ondej^1 ; Karas, Vladimír^1

Astronomical Institute, Academy of Sciences, Boní II 1401/1a, Prague

CZ-141 31, Czech Republic^1

关键词: Axisymmetric modeling;    Deterministic chaos;    General Relativity;    Initial conditions;    Maximal Lyapunov exponent;    Particle motions;    Recurrence quantification analysis;    Uniform magnetic fields;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012070/pdf
DOI  :  10.1088/1742-6596/600/1/012070

来源: IOP

【 摘 要 】

Dynamics of charged particles in the vicinity of a rotating black hole embedded in the external large-scale magnetic field is numerically investigated. In particular, we consider a non- axisymmetric model in which the asymptotically uniform magnetic field is inclined with respect to the axis of rotation. We study the effect of inclination onto the prevailing dynamic regime of particle motion, i.e. we ask whether the inclined field allows regular trajectories or if instead, the deterministic chaos dominates the motion. In this contribution we further discuss the role of initial condition, particularly, the initial azimuthal angle. To characterize the measure of chaoticness we compute maximal Lyapunov exponents and employ the method of Recurrence Quantification Analysis.