论文标题

常规黑洞的准模式和热力学

Quasinormal Modes and Thermodynamics of Regular Black Holes

论文作者

Lan, Chen, Miao, Yan-Gang, Yang, Hao

论文摘要

通过应用无量纲方案,我们分析了三种常规黑洞的准模式和相变。事实证明,在常规黑洞中,机械师第一定律的普遍偏差得到了证明。同时,我们验证了这三个模型中仍然存在二阶相变和戴维斯点。此外,我们通过应用光环/准标准模式对应关系来计算它们在艾科尼尔极限下的准模式,并讨论类似螺旋的形状以及准模式和相变的关系。作为主要结果,我们表明,复杂频率平面中的螺旋状形状与参数化密切相关,即在某些特定单元中,螺旋状形状将在模型中出现,这可能不是其他作者报告的螺旋行为。我们还发现了普通黑洞的普遍特性,即,对于极端情况,其QNM的虚构部分不会消失,而这种情况并未出现在奇异的黑洞中,例如Reissner-Nordström和Kerr Black Black Holes等。

By applying the dimensionless scheme, we investigate the quasinormal modes and phase transitions analytically for three types of regular black holes. The universal deviations to the first law of mechanics in regular black holes are proved. Meanwhile, we verify that second order phase transitions and Davies points still exist in these three models. In addition, we calculate their quasinormal modes in the eikonal limit by applying the light ring/quasinormal mode correspondence, and discuss the spiral-like shapes and the relations between the quasinormal modes and phase transitions. As the main result, we show that spiral-like shapes in the complex frequency plane are closely related to the parameterization, namely in some particular units the spiral-like shapes will emerge in the models, which may not be of the spiral behaviors reported by other authors. We also discover a universal property of regular black holes, i.e., the imaginary parts of their QNMs do not vanish for the extreme cases, which does not appear in singular black holes, such as the Reissner-Nordström and Kerr black holes, etc.

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