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arXiv 2103.06983hep-thgr-qc
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磁化视界的对称性

The symmetries of magnetized horizons

Sasha Brenner, Gaston Giribet, Luciano Montecchio

摘要:

我们研究了存在外部强磁场的稳态黑洞。在考虑了磁场的引力反作用的情况下,爱因斯坦-麦克斯韦场方程的恩斯特-怀尔德解很好地描述了这种情况,它代表了一个沉浸在梅尔文磁宇宙中的带电的静止黑洞。然而,这个解只描述了靠近黑洞区域的物理情况。这是由于以下两个原因:第一,Melvin时空不是渐近局部平坦的;第二,非静态Ernst-Wild解由于其遍历区域的无限扩展甚至不是渐近Melvin的。所有这些似乎都是解决这种情况的障碍;例如,它似乎是计算守恒电荷的障碍,因为这通常需要明确的渐近线概念。在这里,我们绕过这个障碍,通过提供一种方法来计算这样一个黑洞的保守费用限制在视界附近的区域的分析。我们计算Wald熵,质量,电荷,和角动量的静态黑洞在高磁化环境中从视界的角度来看,发现与其他形式的结果完全一致。

英文摘要:

We study stationary black holes in the presence of an external strong magnetic field. In the case where the gravitational backreaction of the magnetic field is taken into account, such an scenario is well described by the Ernst-Wild solution to Einstein-Maxwell field equations, representing a charged, stationary black hole immersed in a Melvin magnetic universe. This solution, however, describes a physical situation only in the region close to the black hole. This is due to the following two reasons: Firstly, Melvin spacetime is not asymptotically locally flat; secondly, the non-static Ernst-Wild solution is not even asymptotically Melvin due to the infinite extension of its ergoregion. All this might seem to be an obstruction to address an scenario like this; for instance, it seems to be an obstruction to compute conserved charges as this usually requires a clear notion of asymptotia. Here, we circumvent this obstruction by providing a method to compute the conserved charges of such a black hole by restricting the analysis to the near horizon region. We compute the Wald entropy, the mass, the electric charge, and the angular momentum of stationary black holes in highly magnetized environments from the horizon perspective, finding results in complete agreement with other formalisms.

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