近日，国科大杭州高等研究院的蔡荣根及其研究小组与中国科学院理论物理研究所的段美凝等人合作并取得一项新进展。经过不懈努力，他们实现带标量毛带电黑洞内部动力学的分类。相关研究成果已于2024年2月22日在国际知名学术期刊《高能物理杂志》上发表。

据悉，对毛状黑洞内部的研究受到了广泛关注。本文基于研究人员最新的分析方法，研究了带标量毛的带电黑洞在一般时空维度下的内部动力学。这些毛状黑洞的几何形状终止于一个类太空奇点。在研究中，研究人员探讨了Kasner历元在后期内部时间的交替现象，并得到了Kasner反演和Kasner转换两种变换的解析表达式。

此外，研究人员对爱因斯坦-麦克斯韦-标量理论的三种不同类型的Kasner变换进行了分类。该研究分析结果得到了完整运动方程数值解的证实，包括一个来自超引力的自上而下的模型。对于一般的相互作用，研究人员还发现并讨论了超出他们分析描述的更复杂的行为，包括非Kasner历元的存在和Kasner指数在后期内部时间的振幅的随机变化。

附：英文原文

Title: Towards classifying the interior dynamics of charged black holes with scalar hair

Author: Cai, Rong-Gen, Duan, Mei-Ning, Li, Li, Yang, Fu-Guo

Issue&Volume: 2024-02-22

Abstract: The study of the interior of hairy black holes has received significant attention recently. This paper builds upon our recent analytical approach to investigate the internal dynamics of charged black holes with scalar hair in general spacetime dimensions. The geometries of these hairy balck holes end at a spacelike singularity. We investigate the alternation of Kasner epoch at later interior times and obtain the analytic expression for two kinds of transformation, namely Kasner inversion and Kasner transition. Moreover, we classify three different types of Kasner alternations for a large class of Einstein-Maxwell-scalar theory. Our analytical results are corroborated by numerical solutions to the full equations of motion, including a top-down model from supergravity. For general interactions, more complicated behaviors beyond our analytical description are also found and discussed, including the presence of non-Kasner epochs and the random change of the amplitude of the Kasner exponent at late interior times.

DOI: 10.1007/JHEP02(2024)169

Source: https://link.springer.com/article/10.1007/JHEP02(2024)169