发表机构
University of Shanghai for Science and Technology; Xingzhi College, Zhejiang Normal University（上海理工大学; 浙江师范大学行知学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本研究在准拓扑引力框架下，检验了5维正则黑洞的阴影、准正则模式与灰体因子间的对应关系，通过Langer修正降低误差，扩展了对应关系的适用范围，为引力多信使检验提供了可行路径。
AI 中文摘要
在准拓扑引力框架内，我们系统研究了D=5维正则黑洞的三类可观测量——阴影、准正则模式（QNM）和灰体因子（GBF）之间的对应关系。利用WKB近似和GrayHawk数值积分，我们在低模（l=2）和高维（D=5）场景下检验GBF-QNM对应关系及阴影-GBF对应关系的适用性：GBF-QNM对应关系与数值结果的差值幅度较小；我们应用已知的Langer修正（将l替换为有效角动量κ=√[l(l+D-3)]≈l+(D-3)/2），该修正将低模下阴影-GBF对应关系的误差降低至与GBF-QNM对应关系相当的水平。本研究将阴影-GBF对应关系扩展至高维正则黑洞，为从单一可观测量预测黑洞谱与霍金辐射轮廓提供了可行路径，进而实现引力的多信使检验。
英文摘要
Within the framework of quasi-topological gravity, we systematically investigate the correspondences among three classes of observables---the shadow, the quasinormal modes, and the graybody factors---of regular black holes in $D = 5$ dimensions. Using the WKB approximation and GrayHawk numerical integration, we test the applicability of the GBF--QNM correspondence and the shadow--GBF correspondence in the low-mode ($l=2$) and higher-dimensions ($D=5$): the difference between the GBF--QNM correspondence and the numerical results remains small in magnitude; we apply the known Langer correction (replacing $l$ by the effective angular momentum $κ= \sqrt{l(l+D-3)} \simeq l + (D-3)/2$), which reduces the error of the shadow--GBF correspondence at low modes to a level comparable with that of the GBF--QNM correspondence. Our work extends the shadow--GBF correspondence to higher-dimensional regular black holes, providing a viable route to predict the black hole spectrum and the Hawking radiation profile from a single observable, and thereby to realize multi-messenger tests of gravity.
