论文标题

计算一般相对论无力的电动力学:I。多坐标实现和测试

Computational General Relativistic Force-Free Electrodynamics: I. Multi-Coordinate Implementation and Testing

论文作者

Mahlmann, J. F., Aloy, M. A., Mewes, V., Cerdá-Durán, P.

论文摘要

一般相对论的无力电动力学是一种可能用于分析能量流出的血浆限制,其中强磁场在所有惯性现象中都占主导地位。银河中心和M87银河系的黑洞阴影的惊人图像为在宇宙最极端环境中的积聚流提供了首次直接瞥见。从旋转BH的准流出或喷气机的形式有效提取能量的有效提取与周围磁场的拓扑直接相关。我们旨在提供一种工具,以数值对这些磁层的动力学建模在紧凑型物体(例如黑洞和中子星)周围的动力学。通过这种情况,我们探究了它们在高能现象的形成中的作用,例如磁铁耀斑和某些活性银河核的高度可变的teraelectronvolt发射。在这项工作中,我们提出了能够建模紧凑型天体物理物体的完全无动力的磁层的数值策略。我们使用爱因斯坦工具包的基础架构在笛卡尔和球形坐标中实施了我们对笛卡尔和球形坐标中一般无力的电动力学实施的实施细节和广泛测试。使用完整的一般相对论兼容性的数值错误的双曲线/抛物线清洁,可以在动态空间中快速地对付数值错误。这种差异误差的这种快速对流可显着提高黑洞磁层的一般相对论无力的电动力学建模的稳定性。

General relativistic force-free electrodynamics is one possible plasma-limit employed to analyze energetic outflows in which strong magnetic fields are dominant over all inertial phenomena. The amazing images of black hole shadows from the galactic center and the M87 galaxy provide a first direct glimpse into the physics of accretion flows in the most extreme environments of the universe. The efficient extraction of energy in the form of collimated outflows or jets from a rotating BH is directly linked to the topology of the surrounding magnetic field. We aim at providing a tool to numerically model the dynamics of such fields in magnetospheres around compact objects, such as black holes and neutron stars. By this, we probe their role in the formation of high energy phenomena such as magnetar flares and the highly variable teraelectronvolt emission of some active galactic nuclei. In this work, we present numerical strategies capable of modeling fully dynamical force-free magnetospheres of compact astrophysical objects. We provide implementation details and extensive testing of our implementation of general relativistic force-free electrodynamics in Cartesian and spherical coordinates using the infrastructure of the Einstein Toolkit. The employed hyperbolic/parabolic cleaning of numerical errors with full general relativistic compatibility allows for fast advection of numerical errors in dynamical spacetimes. Such fast advection of divergence errors significantly improves the stability of the general relativistic force-free electrodynamics modeling of black hole magnetospheres.

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