Consistent Blandford-Znajek expansion
Consistent Blandford-Znajek expansion
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DOI：
10.1088/1475-7516/2020/04/009
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发表时间：
2020-02
影响因子：
6.4
通讯作者：
J. Armas;Yan-Chuan Cai;G. Compère;D. Garfinkle;S. Gralla
中科院分区：
文献类型：
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作者：
J. Armas;Yan-Chuan Cai;G. Compère;D. Garfinkle;S. Gralla
Blandford-Znajek机制是通过等离子体电流在穿过视界的磁场线上流动，从旋转的黑洞中连续提取能量。在发现论文中，Blandford和Znajek通过在小黑洞自旋有效的微扰膨胀中求解无力电动力学方程来证明该机制。试图将这种扰动分析扩展到更高阶遇到了不一致。我们克服了这个问题，使用匹配渐近展开的方法，注意解决所有的奇异表面（轻表面）的问题。工作与dielectric场配置，我们明确地显示如何解决在这个框架中的不一致性，并计算的字段配置比以前已知的高一个顺序。然而，在该顺序下不存在对能量提取率的校正。这些结果证实了小自旋分裂态的基本一致性，为进一步微扰研究Blandford-Znajek机制奠定了基础。
The Blandford-Znajek mechanism is the continuous extraction of energy from a rotating black hole via plasma currents flowing on magnetic field lines threading the horizon. In the discovery paper, Blandford and Znajek demonstrated the mechanism by solving the equations of force-free electrodynamics in a perturbative expansion valid at small black hole spin. Attempts to extend this perturbation analysis to higher order have encountered inconsistencies. We overcome this problem using the method of matched asymptotic expansions, taking care to resolve all of the singular surfaces (light surfaces) in the problem. Working with the monopole field configuration, we show explicitly how the inconsistencies are resolved in this framework and calculate the field configuration to one order higher than previously known. However, there is no correction to the energy extraction rate at this order. These results confirm the basic consistency of the split monopole at small spin and lay a foundation for further perturbative studies of the Blandford-Znajek mechanism.