The spectrum of known black-hole solutions to the stationary Einstein equations has been steadily increasing, sometimes in unexpected ways. In particular, it has turned out that not all black-hole-equilibrium configurations are characterized by their mass, angular momentum and global charges. Moreover, the high degree of symmetry displayed by vacuum and electro-vacuum black-hole spacetimes ceases to exist in self-gravitating non-linear field theories. This text aims to review some developments in the subject and to discuss them in light of the uniqueness theorem for the Einstein-Maxwell system.

中文翻译：

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固定黑洞：独特性和超越性。

平稳的爱因斯坦方程组的已知黑洞解的频谱一直在稳定地增长，有时以出乎意料的方式增长。特别是，事实证明并非所有黑洞平衡构型都以其质量，角动量和整体电荷为特征。而且，在自重非线性场论中，不再存在由真空和电真空黑洞时空表现出的高度对称性。本文旨在回顾该主题的一些发展，并根据爱因斯坦-麦克斯韦系统的唯一性定理对它们进行讨论。