arXiv 1402.14522014-02hep-th

Kerr-AdS黑洞与无力磁层

Kerr-AdS Black Holes and Force-Free Magnetospheres

Xun Wang, Adam Ritz

备注：: 37 pages, 9 figures; v2: comments added and typos corrected
发表信息：: Phys. Rev. D 89, 106011 (2014)
DOI：: 10.1103/PhysRevD.89.106011

摘要：

我们得到类似的Blandford-Znajek分裂解的无力磁层周围的一个缓慢旋转的Kerr-AdS黑洞。对于小的黑洞，我们找到了一个解析解的视界半径的比例，AdS规模，$r_H/l$，它表现出径向坡印廷通量和$r_H/l \rightarrow 0$顺利地接近Blandford-Znajek配置在渐近平坦的克尔背景。然而，对于具有$r_H/l > 1$的大型Kerr-AdS黑洞，即那些体黑洞全息描述强相互作用边界场论热力学的黑洞，视界外部存在全局定义良好的类时Killing矢量，表明没有通过Blandford-Znajek过程提取能量。在这个制度中，我们发现，至少对于慢旋转的无力的解决方案仍然存在，但表现出的角速度的范围内的场线，对应于自由的双场论旋转的磁场通过中性等离子体。作为这项工作的副产品，我们还获得了一个解析解的旋转磁层在纯AdS，类似于米歇尔解决方案在平坦的空间。

英文摘要：

We obtain analogs of the Blandford-Znajek split monopole solution for force-free magnetospheres around a slowly rotating Kerr-AdS black hole. For small black holes, we find an analytic solution to first order in the ratio of horizon radius to AdS scale, $r_H/l$, which exhibits a radial Poynting flux and for $r_H/l \rightarrow 0$ smoothly approaches the Blandford-Znajek configuration in an asymptotically flat Kerr background. However, for large Kerr-AdS black holes with $r_H/l > 1$, namely those for which the bulk black hole holographically describes the thermodynamics of a strongly-interacting boundary field theory, the existence of a globally well-defined timelike Killing vector external to the horizon suggests the absence of energy extraction through the Blandford-Znajek process. In this regime, we find that at least for slow rotation the force-free solution still exists but exhibits a range of angular velocities for the field lines, corresponding to the freedom in the dual field theory to rotate a magnetic field through a neutral plasma. As a byproduct of this work, we also obtain an analytic solution for a rotating monopole magnetosphere in pure AdS, analogous to the Michel solution in flat space.

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