We test whether static charged dilaton black holes in [Formula: see text] dimensions can be turned into naked singularities by sending in test particles from infinity. We derive that overcharging is possible and generic for both extremal and nearly extremal black holes. Our analysis also implies that nearly extremal charged dilaton black holes can be continuously driven to extremality and beyond, unlike nearly extremal Ban̆ados–Teitelboim–Zanelli, Kerr and Reissner–Nordström black holes which are overspun or overcharged by a discrete jump. Thus, the weak form of the cosmic censorship conjecture and the third law of black hole thermodynamics are both violated in the interaction of charged dilaton black holes in [Formula: see text] dimensions, with test particles. We also derive that there exist no points, where the heat capacity vanishes or diverges in the transition from black holes to naked singularities. The phase transitions that could potentially prevent the formation of naked singularities do not occur.

中文翻译：

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将 (2 + 1) 维中的膨胀子黑洞过度充电至极值及以上

我们测试 [公式：见文本] 维度中的静电荷膨胀子黑洞是否可以通过从无穷远处发送测试粒子而变成裸奇点。我们得出，对于极端和接近极端的黑洞来说，过度充电是可能的和普遍的。我们的分析还表明，接近极值的带电膨胀子黑洞可以连续驱动到极值甚至更远，这与接近极值的 Ban̆ados–Teitelboim–Zanelli、Kerr 和 Reissner–Nordström 黑洞不同，它们会因离散跳跃而过旋转或过度充电。因此，在[公式：见正文]维度的带电膨胀子黑洞与测试粒子的相互作用中，宇宙审查猜想的弱形式和黑洞热力学第三定律都被违反了。我们还得出不存在点，在从黑洞到裸奇点的过渡中，热容量消失或发散。不会发生可能阻止裸奇点形成的相变。