AI 中文总结
研究庞加莱规范引力中类似雷斯纳 - 诺德斯特龙黑洞，用六阶WKB近似等方法研究挠率修正背景上的微扰和测试场，发现挠率对黑洞铃宕有影响，通过与观测比较推导挠率参数约束，揭示其在黑洞阴影和铃宕上留下相关印记。
AI 中文摘要
时空挠率为广义相对论提供了自然扩展，可能导致与爱因斯坦对应物有显著差异的黑洞解。我们研究了庞加莱规范引力中一类类似雷斯纳 - 诺德斯特龙的黑洞，其中有效电荷完全由时空挠率而非电磁场产生。在物理相关的挠率扇区，时空呈现单视界结构。利用六阶温策尔 - 克拉默斯 - 布里渊（WKB）近似、利弗的连分数方法以及准正则模与不稳定零测地线之间的程函对应，我们研究了挠率修正背景上的标量微扰和自旋 - 2测试场。发现增加挠率会降低振荡频率和阻尼率，导致铃宕信号寿命更长。我们还将模型预测与事件视界望远镜对人马座A*和M87*的观测以及代表性的LIGO - Virgo - KAGRA（LVK）铃宕尺度进行比较，通过轮廓 - $\chi^{2}$分析并辅以蒙特卡罗采样来推导挠率参数的约束。尽管在当前观测不确定性内结果界限与史瓦西极限一致，但结果表明时空挠率在黑洞阴影和铃宕可观测量上留下了相关印记。
英文摘要
Spacetime torsion provides a natural extension of general relativity and may lead to black hole solutions that differ significantly from their Einsteinian counterparts. We investigate a class of Reissner-Nordström-like black holes in Poincaré gauge gravity, where the effective charge is generated entirely by spacetime torsion instead of an electromagnetic field. Within the physically relevant torsion sector, the spacetime exhibits a single-horizon structure, free from the inner horizons and extremal states characteristic of charged black holes. Using the sixth-order Wentzel-Kramers-Brillouin (WKB) approximation, Leaver's continued-fraction method, and the eikonal correspondence between quasinormal modes and unstable null geodesics, we study scalar perturbations and spin-2 test fields on the torsion-modified background. We find that increasing torsion decreases both the oscillation frequencies and damping rates, leading to longer-lived ringdown signals. We further compare the model predictions with Event Horizon Telescope observations of Sgr A* and M87*, along with representative LIGO-Virgo-KAGRA (LVK) ringdown scales, to derive constraints on the torsion parameter via a profile-$χ^{2}$ analysis supplemented by Monte Carlo sampling. Although the resulting bounds remain consistent with the Schwarzschild limit within current observational uncertainties, our results show that spacetime torsion leaves correlated imprints on both black hole shadows and ringdown observables.
Comments21 pages, 5 figures
