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arXiv 2609.33267gr-qc

Hayward黑洞的准正则模:从Schwarzschild到极端情形下的比较谱分析

Quasinormal modes of Hayward black holes from Schwarzschild to extremality: a comparative spectral analysis

  • Khalifa University of Science and Technology

机构由 AI 辅助整理,请以论文原文为准。

Davide Batic, Denys Dutykh

AI总结:

本研究通过多精度Chebyshev配点法比较分析Hayward黑洞从Schwarzschild到极端情形的标量与电磁准正则模,指出虚轴谱候选需谨慎分类,且未确立普遍间距或喉控阻尼。

AI中文摘要:

我们研究了Hayward黑洞的标量和电磁准正则模,以及一个特定的Regge-Wheeler型有效模型的轴向谱,从Schwarzschild极限到精确极端情形。多精度Chebyshev配点法再现了大多数可用的低 lying 振荡基准,并提供了进一步的泛音候选。自旋2方程是模型依赖的。它不同于近期Hayward研究中使用的有效源势,我们量化了代表性的频率差异。离散化还产生了纯虚特征值序列,其物理分类需要特别小心,因为高度可复现的虚轴阶梯不一定是延拓格林函数的极点。因此,本文报告的虚轴条目被保留为未分类的谱候选,而非已确立的准正则模。我们量化了它们的有限表间隙色散和对所包含间隙数量的敏感性。它们在$M\omega$中接近四分之一的间距,以及极端乘积接近1/3与喉半径,仍然是表中候选的性质,它们并未确立普遍的准正则模间距或喉控制的阻尼。

英文摘要:

We study scalar and electromagnetic quasinormal modes of the Hayward black hole and the axial spectrum of a specified Regge--Wheeler-type effective model, from the Schwarzschild limit to exact extremality. Multiprecision Chebyshev collocation reproduces most available low-lying oscillatory benchmarks and supplies further overtone candidates. The spin-2 equation is model dependent. It differs from the effective-source potential used in recent Hayward studies, and we quantify representative frequency differences. The discretisation also produces purely imaginary eigenvalue sequences, whose physical classification requires special care because highly reproducible imaginary-axis ladders need not be poles of the continued Green function. Accordingly, the imaginary-axis entries reported here are retained as unclassified spectral candidates, not established QNMs. We quantify their finite-table gap dispersion and sensitivity to the number of included gaps. Their spacings near one quarter in $Mω$, and the extremal product near $1/3$ with the throat radius, remain properties of the tabulated candidates, and they do not establish universal QNM spacing or throat-controlled damping.

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