标量化黑洞的涌现标度对称性与普适内部临界性
Emergent Scaling Symmetry and Universal Interior Criticality of Scalarized Black Holes
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中文总结 AI 辅助
本文研究带电黑洞自发标量化中的内部临界行为，发现新的普适类，其临界指数γ≠1/2，并揭示由背景柯西视界处的涌现标度对称性所支配的统一机制，做出精确数值预测。
中文摘要 AI 辅助
渐近平坦时空中带电黑洞的自发标量化近来引起了广泛关注。最近有报道称，在这些自发标量化的黑洞内部，终端奇点处的Kasner参数β在临界荷质比q_c附近发散，满足β∝(q/q_c-1)^{-γ}，其中指数γ=1/2，且在一大类耦合中表现出模型无关性。在本文中，我们报告了一族新的普适类，其中γ不同于1/2。我们表明，所有这些临界行为都受背景Reissner-Nordström解的视界（即所谓的柯西视界）处涌现的同一标度对称性所支配。该对称性产生一种“跷跷板放大”机制，用于放大外部小标量场，并产生一个与理论细节无关的极限自治系统。我们的机制为外部标量化和内部临界性提供了统一的图景，并做出了我们已检验的精确数值预测。
英文摘要
Spontaneous scalarization of charged black holes in asymptotically flat spacetime has attracted much recent interest. It is recently reported that inside these spontaneously scalarized black holes, the Kasner parameter $β$ at the terminal singularity diverges as $β\propto(q/q_c-1)^{-γ}$ near the critical charge-to-mass ratio $q_c$, with an exponent $γ=1/2$ that appeared model independent within a wide class of couplings. In this paper we report a family of new universality classes in which $γ$ differs from 1/2. We show that all these critical behaviors are governed by the same emergent scaling symmetry at the would-be Cauchy horizon of the background Reissner-Nordström solution. This symmetry leads to a ``seesaw amplification'' to amplify exterior small scalar and produces a limiting autonomous system that is independent of the details of the theory. Our mechanism provides a unified picture of exterior scalarization and interior criticality and makes sharp numerical predictions that we test.
发表机构
- Ningbo University（宁波大学）
- University of Chinese Academy of Sciences（中国科学院大学）
- Chinese Academy of Sciences（中国科学院）
- Hangzhou Institute for Advanced Study, UCAS（中国科学院大学杭州高等研究院）
- Tianjin University（天津大学）
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