We discuss the intrinsic relations between thermodynamic phase transitions and quasinormal modes in regular AdS black holes, specifically in the Bardeen and Hayward AdS classes. To this end, we calculate the quasinormal modes of massless scalar field perturbations around small and large black holes via the Horowitz-Hubeny method. By investigating the isobaric and isothermal phase transitions for Bardeen and Hayward AdS black holes in detail, we observe that a dramatic change of quasinormal modes appears near the phase transition point of small and large black holes, and that it corresponds to the swallow tail structure in the plane of Gibbs free energy with respect to pressure. Moreover, by analyzing the evolution of black holes along the coexistence curve of small and large black hole phases, we also observe the dramatic change in quasinormal modes. Such a phenomenon confirms the signal of the phase transition in the quasinormal mode spectrum, which can be understood as a thermodynamic signal hidden in the dynamical spectrum.

中文翻译：

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隐藏在规则 AdS 黑洞准正常模式中的相变信号


我们讨论了常规 AdS 黑洞（特别是 Bardeen 和 Hayward AdS 类）中热力学相变与准正态模式之间的内在关系。为此，我们通过 Horowitz-Hubeny 方法计算了小黑洞和大黑洞周围无质量标量场扰动的拟正态模式。通过详细研究Bardeen和Hayward AdS黑洞的等压和等温相变，我们观察到小黑洞和大黑洞的相变点附近出现了准正规模的剧烈变化，这对应于AdS黑洞中的燕尾结构。相对于压力的吉布斯自由能平面。此外，通过分析黑洞沿着小黑洞和大黑洞相共存曲线的演化，我们还观察到了准正规模态的剧烈变化。这样的现象证实了准正规模谱中相变的信号，可以理解为隐藏在动力学谱中的热力学信号。