论文标题
一致的Blandford-Znajek扩展
Consistent Blandford-Znajek Expansion
论文作者
论文摘要
Blandford-Znajek机制是通过在磁场线螺纹上流动的等离子体电流从旋转黑洞中连续提取能量。在发现论文中，布兰福德和Znajek通过在小黑洞旋转有效的扰动膨胀中求解无力的电动力学方程来证明了该机制。试图将这种扰动分析扩展到更高阶段的尝试遇到了不一致。我们使用匹配的渐近扩展方法克服了这一问题，请注意解决问题中的所有单数表面（光表面）。使用Monopole字段配置，我们明确显示了在此框架中如何解决不一致的情况，并将字段配置计算为比以前更高的一个阶。但是，在此顺序没有校正能量提取率。这些结果证实了小旋转时分裂单极的基本一致性，并为Blandford-Znajek机制的进一步扰动研究奠定了基础。
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.
