AI 中文总结
研究博纳诺 - 罗伊特黑洞的准正则模，采用谱方法计算标量、电磁和引力微扰的准正则模谱，该方法精度高于高阶WKB方法，能识别多种模式，强调了高精度谱方法对研究量子引力启发的黑洞模型的重要性。
AI 中文摘要
在这项工作中，我们探索了博纳诺 - 罗伊特黑洞的准正则模，它是渐近安全引力（ASG）程序提出的首批正则黑洞度规之一。运行参数α设为正值，相关的跑动牛顿耦合在高能时消失，完全实现紫外不动点并消除非物理的紫外发散，产生无奇点几何。我们关注由此产生的重整化群改进的史瓦西度规，其自然产生一个（反）德西特非奇异核心。在此背景下，我们采用谱方法计算标量、电磁和引力微扰的准正则模谱。该方法比高阶WKB方法精度更高，能识别基模、泛音以及之前分析完全遗漏的纯虚过阻尼模。这些特征首次在博纳诺 - 罗伊特黑洞中得到解决，强调了高精度谱方法在研究受量子引力启发的黑洞模型精细特征方面的关键重要性。
英文摘要
In this work, we explore the quasinormal modes (QNMs) of the Bonanno-Reuter black hole, one of the first regular black hole metric suggested by the Asymptotically Safe Gravity (ASG) program. The running parameter $α$ is set to a positive value, the related running Newton coupling vanishes at high energies, fully achieving an ultraviolet fixed point and eliminating non-physical UV divergences. This yields a singularity-free geometry. Hence, we focus on the resulting renormalisation-group-improved Schwarzschild metric, which naturally produces an (Anti)deSitter non-singular core. On the basis of this background, we compute the QNM spectrum for scalar, electromagnetic, and gravitational perturbations by employing the Spectral Method (SM). This method, recognised for its enhanced precision compared to high-order WKB methods, allows the identification of fundamental modes, extensive collections of overtones, and purely imaginary overdamped modes that were entirely missed in previous analyses. These characteristics, resolved here for the first time in the Bonanno-Reuter black hole, underscore the crucial importance of high-precision spectral methods in investigating delicate signatures of black hole models inspired by quantum gravity.
Comments42 pages, 1 figure, XXIX Tables
Journal refPhys. Rev. D 114, 024023 (2026)
