发表机构
Kavli Institute for Astronomy and Astrophysics, Peking University; Center for Quantum Spacetime, Sogang University; National Astronomical Observatories, Chinese Academy of Sciences（北京大学科维理天文与天体物理研究所; 西江大学量子时空中心; 中国科学院国家天文台）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究Einstein-Maxwell-scalar理论中带电黑洞的极值标量化，发现非极值标量化曲线坍缩至临界阈值，并构造满足过带电条件的极值黑洞，揭示Miransky型标度行为。
AI 中文摘要
我们研究了Einstein-Maxwell-scalar理论中接近极值及极值处的自发标量化。当从下方接近Reissner-Nordström (RN)极值性时，非极值标量化存在曲线坍缩到由极值黑洞近视界喉部（AdS$_2\times S^2$）的Breitenlohner-Freedman界给出的公共临界阈值$\alpha_c=1/4$。对于多项式耦合，我们构造了具有非恒定标量毛发的极值黑洞，满足$M^2+Q_s^2=Q^2$，这使它们位于RN界之外的过带电区域$Q/M>1$。一种共同的近区相位机制预测从两侧向RN极值性的累积，产生Miransky型标度。在极值扇区中，对数相位区间加倍，使表示连续节点尺度几何间距的指数减半。
英文摘要
We study spontaneous scalarization near and at extremality in Einstein-Maxwell-scalar theory. As Reissner-Nordström (RN) extremality is approached from below, the nonextremal scalarization existence curves collapse toward a common critical threshold $α_c=1/4$ given by the Breitenlohner-Freedman bound for the near-horizon throat (AdS$_2\times S^2$) of its extremal black hole. For a polynomial coupling, we construct extremal black holes with nonconstant scalar hair, satisfying $M^2+Q_s^2=Q^2$, which places them in the overcharged region $Q/M>1$ beyond the RN bound. A common near-region phase mechanism predicts accumulation toward the RN extremality from both sides, yielding Miransky-type scaling. In the extremal sector, the logarithmic phase interval doubles, halving the exponent which denotes the geometric spacing of successive node scales.
Comments10 pages, 4 figures
