论文标题
kerr-ads $ {} _ 5 $黑洞的标量准正常模式的全球研究：稳定性，热力和地平线量化
Global study of the scalar quasi-normal modes of Kerr-AdS${}_5$ black holes: Stability, thermality, and horizon area quantization
论文作者
论文摘要
我们从数值上探索了五维小型和大的Kerr-Anti de Sitter（Kerr-Ads $ {} _ 5 $）黑洞的五维小型和大型Kerr-Anti de Sitter的频率的结构。我们的调查还涵盖了低和高鹰的温度。然后，我们研究Kerr-Ads $ {} _ 5 $黑洞的稳定性和高度阻尼的QN模式的结构，这将反映Kerr-Ads $ {} _ 5 $ Black Hole的热力学特性。 We find that the highly damped complex QN frequencies of a nearly maximally spinning Kerr-AdS${}_5$ 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-AdS${}_5$ boundary.最后，我们讨论了Kerr-Ads $ {} _ 5 $黑洞的QN模式与HOD在Horizon区域量化上的猜想以及Kerr-Ads $ {} _ 5 $黑洞的地平线拓扑的分析。我们表明，通常是一个超旋转的kerr-ads $ {} _ 5 $黑洞，其自旋参数在无限的地方接近ADS曲率半径，具有其非紧密的地平线，并基于HOD的猜想，我们认为地平线可能是连续的。
We numerically explore the structure of quasi-normal (QN) frequencies of the five-dimensional small and large Kerr-anti de Sitter (Kerr-AdS${}_5$) black hole with equal and unequal rotations. Our investigation also covers low and high Hawking temperatures. We then study the stability of the Kerr-AdS${}_5$ black hole and the structure of highly damped QN modes, which would reflect the thermodynamic property of the Kerr-AdS${}_5$ black hole. We find that the highly damped complex QN frequencies of a nearly maximally spinning Kerr-AdS${}_5$ 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-AdS${}_5$ boundary. Finally, we discuss a relation between the QN modes of the Kerr-AdS${}_5$ black hole and the Hod's conjecture on the horizon area quantization along with the analysis of the horizon topology of the Kerr-AdS${}_5$ black hole. We show that in general, an ultra-spinning Kerr-AdS${}_5$ black hole, whose spin parameter is infinitesimally close to the AdS curvature radius, has its non-compact 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 ultra-spinning regime.
