AI 中文总结
该研究利用高精度切比雪夫谱方法计算卡扎科夫 - 索洛杜金量子修正黑洞的准正则模，应用于多种微扰和引力扇区，重现了相关基准，解析了额外根，在特定区域有规律，且未检测到稳定增长模式。
AI 中文摘要
我们使用高精度切比雪夫谱方法计算卡扎科夫 - 索洛杜金量子修正黑洞的准正则模。在消除事件视界和空间无穷远处的准正则模渐近行为后，径向问题简化为关于无量纲频率\(\Omega = M\omega\)的二次矩阵束。我们将此框架应用于最小耦合标量微扰、电磁微扰、非最小耦合标量场和轴向有效源雷杰 - 惠勒型引力扇区。结果在有效范围内重现了可用的WKB、时域、马什胡恩和渐近迭代基准。谱方法还解析了额外的泛音和候选纯虚过阻尼根。在几个扇区中，这些根的间距尺度接近\(M\kappa = 1/4\)。在近极端但仍亚极端的区域，检测到的纯虚分支接近近似等间距的表面引力缩放阶梯，而振荡谱仍依赖于扇区。在此处考虑的参数范围和分辨率内，所有保留的模式都有\(\Im{\Omega}<0\)，未检测到稳定增长模式。
英文摘要
We compute quasinormal modes of the Kazakov--Solodukhin quantum-corrected black hole using a high-precision Chebyshev spectral method. After factoring out the quasinormal mode asymptotics at the event horizon and at spatial infinity, the radial problem is reduced to a quadratic matrix pencil for the dimensionless frequency $Ω=Mω$. We apply this framework to minimally coupled scalar perturbations, electromagnetic perturbations, a non-minimally coupled scalar field, and an axial effective source Regge--Wheeler-type gravitational sector. The latter is treated as an effective axial model, rather than as the full gravitational perturbation problem, because the Kazakov--Solodukhin spacetime is not Ricci flat. Our results reproduce the available WKB, time-domain, Mashhoon, and asymptotic-iteration benchmarks in their common regimes of validity, after accounting for the different normalisations used in the literature. The spectral method also resolves additional overtones and candidate purely imaginary overdamped roots. In several sectors, these roots exhibit a spacing scale close to $Mκ=1/4$, with occasional multiple gaps in the retained numerical sequence. In the near-extremal, but still subextremal, regime, the detected purely imaginary branches approach an approximately equally spaced surface-gravity-scaled ladder, while the oscillatory spectra remain sector dependent. Within the parameter ranges and resolutions considered here, all retained modes have $\ImΩ<0$, and no stable growing mode is detected.
Comments60 pages, 10 figures
Journal refEur. Phys. J. C (2026) 86:847
DOI：10.1140/epjc/s10052-026-16102-3
