发表机构
Kimyo International University in Tashkent; Tashkent State Technical University; School of Physics, Harbin Institute of Technology; University of Tashkent for Applied Sciences; Institute of Theoretical Physics, National University of Uzbekistan; Samarkand State Pedagogical Institute; New Uzbekistan University; Research Institute of Irrigation and Water Problems; Tashkent International University（塔什干化学国际大学; 塔什干国立技术大学; 哈尔滨工业大学物理学院; 塔什干应用科学大学; 乌兹别克斯坦国立大学理论物理研究所; 撒马尔罕国立师范学院; 新乌兹别克斯坦大学; 灌溉与水资源问题研究所; 塔什干国际大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究计算了非多项式引力中理性正则黑洞的准正则模和灰体因子，发现铃宕频率在极端条件下被抑制且灰体透射增强，并评估了LISA的探测潜力。
AI 中文摘要
我们研究了最近在非多项式（拟拓扑）引力中得到的四维理性正则黑洞的准正则模谱和波散射性质。使用三阶WKB方法，并结合两种独立的交叉验证——Frobenius--Riccati打靶法和时域演化——我们计算了基本标量、电磁和轴向引力型准正则频率，并对照已知的Schwarzschild结果验证了我们的方法。我们发现，当几何趋近极端时，其无量纲铃宕频率相对于Schwarzschild值被系统性地抑制，这是非多项式正则化的直接且可量化的印记，我们通过光子球对应关系将其追溯到视界附近有效势的响应。Fisher矩阵估计表明，对于足够大质量且距离较近的源，这种抑制原则上可以被LISA等天基探测器分辨。我们进一步首次使用Regge--Wheeler主方程计算了该几何的轴向引力型铃宕谱，同时指出对底层引力理论的完整稳定性分析仍是一个开放问题，需要修正作用量的线性化场方程。最后，我们考察了自旋$s=0,1,2$的灰体透射因子，并表明它们遵循与铃宕频率抑制相同的系统排序和近极端增强，指向一个共同的物理起源。综合来看，这些结果是对修正引力中正则黑洞的观测特征和剩余开放理论问题的首批定量刻画之一。
英文摘要
We study the quasinormal mode spectrum and wave-scattering properties of the four-dimensional rational regular black hole recently obtained in non-polynomial (quasi-topological) gravity. Using third-order WKB together with two independent cross-checks a Frobenius--Riccati shooting method and a time-domain evolution we compute the fundamental scalar, electromagnetic, and axial gravitational-type quasinormal frequencies, validating our approach against known Schwarzschild results. We find that as the geometry approaches extremality, its dimensionless ringing frequency is systematically suppressed relative to the Schwarzschild value, a direct and quantifiable imprint of the non-polynomial regularization that we trace, via the photon-sphere correspondence, to the response of the effective potential near the horizon. A Fisher-matrix estimate indicates that this suppression could in principle be resolved by a space-based detector such as LISA for a sufficiently massive and nearby source. We further compute, for the first time, the axial gravitational-type ringdown spectrum of this geometry using the Regge--Wheeler master equation, while noting that a full stability analysis of the underlying gravity theory remains an open problem requiring the linearized field equations of the modified action. Finally, we examine the greybody transmission factors across spins $s=0,1,2$ and show that they follow the same systematic ordering and near-extremal enhancement as the ringing-frequency suppression, pointing to a common physical origin. Together, these results give one of the first quantitative characterizations of the observational signatures and the remaining open theoretical questions of a regular black hole in modified gravity.
Comments15 pages, 9 figures, 7 tables
