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arXiv 1504.02112gr-qcastro-ph.HEhep-th
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关于黑洞磁层中磁力线聚束的注记

Note on Bunching of Field Lines in Black Hole Magnetospheres

Samuel E. Gralla, Alexandru Lupsasca, Maria J. Rodriguez

摘要:

对高自旋下Blandford-Znajek能量提取的数值模拟表明,磁力线在事件视界的极点附近倾向于聚束。我们表明,这种行为可以从固定的功能依赖于电流和磁场线旋转的假设解析磁通量。这个论证主要依赖于Znajek条件的存在,它提供了关于视界上的场的非平凡信息,而不需要完全的无力解。我们还提供了一些新的解析表达式的抛物型场位形。

英文摘要:

Numerical simulations of Blandford-Znajek energy extraction at high spin have revealed that field lines tend to bunch near the poles of the event horizon. We show that this behavior can be derived analytically from the assumption of fixed functional dependence of current and field line rotation on magnetic flux. The argument relies crucially on the existence of the Znajek condition, which offers non-trivial information about the fields on the horizon without requiring a full force-free solution. We also provide some new analytic expressions for the parabolic field configuration.

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