Global study of the scalar quasinormal modes of Kerr-AdS5 black holes: Stability, thermality, and horizon area quantization
Global study of the scalar quasinormal modes of Kerr-AdS5 black holes: Stability, thermality, and horizon area quantization
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Kerr-AdS5 黑洞标量准正态模式的全局研究：稳定性、热度和视界面积量化
DOI：
10.1103/physrevd.105.124044
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发表时间：
2022
影响因子：
5
通讯作者：
Kazushige Ueda
中科院分区：
文献类型：
--
作者：
Issei Koga;Naritaka Oshita;Kazushige Ueda
数值研究了具有等旋和不等旋的五维大小Kerr-anti-de Sitter（Kerr-）黑洞的准正规（QN）频率结构.我们的研究还包括低和高霍金温度。然后我们研究了Kerr-black hole的稳定性以及反映Kerr-black hole热力学性质的高阻尼QN模的结构。我们发现近极大自旋Kerr黑洞的高阻尼复QN频率在虚部具有视界表面引力的周期分离，而真实的部分则收敛于超辐射频率，这可能与Kerr边界上相应的共形场论中热绿色函数的极点结构有关.最后，我们讨论了Kerr-black hole的QN模与视界面积量子化的Hod猜想之间的关系，沿着分析了Kerr-black hole的视界拓扑。我们证明了在一般情况下，自旋参数无限接近AdS曲率半径的超自旋Kerr黑洞具有非紧视界，并且基于Hod猜想，我们证明了视界面积可以是连续的，即单位面积的视界在超自旋状态下为零.
We numerically explore the structure of quasinormal (QN) frequencies of the five-dimensional small and large Kerr-anti–de Sitter (Kerr-) black hole with equal and unequal rotations. Our investigation also covers low and high Hawking temperatures. We then study the stability of the Kerr-black hole and the structure of highly damped QN modes, which would reflect the thermodynamic property of the Kerr-black hole. We find that the highly damped complex QN frequencies of a nearly maximally spinning Kerr-black hole have the periodic separation of the surface gravity at the horizon in the imaginary part while the real part converges to the superradiant frequency, which may be relevant to the pole structure of the thermal Green’s function in the corresponding conformal field theory on the Kerr-boundary. Finally, we discuss a relation between the QN modes of the Kerr-black hole and the Hod’s conjecture on the horizon area quantization along with the analysis of the horizon topology of the Kerr-black hole. We show that in general, an ultraspinning Kerr-black hole, whose spin parameter is infinitesimally close to the AdS curvature radius, has its noncompact horizon, and based on the Hod’s conjecture, we argue that the horizon area may be continuous, that is, the unit area of the horizon vanishes in the ultraspinning regime.