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arXiv 1906.04847gr-qcmath-phmath.MP
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关于两个旋转带电黑洞的平衡问题

On the balance problem for two rotating and charged black holes

Jörg Hennig

摘要:

两个非极值旋转带电的黑洞是否能达到物理平衡是一个有趣的开放性问题,这可能是由于引力、自旋-自旋和电排斥之间的平衡。精确的候选解决方案被构建,但目前还不清楚它们是否是物理上可接受的。这些解是通过假设对称轴上的特定行为而获得的。然而,不知道轴数据的假定形式是否涵盖一般情况,或者是否也需要考虑其他类型的数据。通过研究轴对称定常Einstein-麦克斯韦方程组的边值问题,我们解决了这个问题,并导出了可能的平衡组态的最一般形式的容许轴势。

英文摘要:

It is an interesting open problem whether two non-extremal rotating and electrically charged black holes can be in physical equilibrium, which might be possible due to a balance between the gravitational attraction and the spin-spin and electrical repulsions. Exact candidate solutions were constructed, but it is unclear whether they are physically acceptable. These solutions were obtained by assuming a particular behaviour on the symmetry axis. However, it was not known whether the assumed form of the axis data covers the general case or whether data of some other type need to be considered as well. By studying a boundary value problem for the axisymmetric and stationary Einstein-Maxwell equations, we address this question and derive the most general form of permissible axis potentials for possible equilibrium configurations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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