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Bolokhov, S. V., & Skvortsova, M. Gravitational Quasinormal Modes and Grey-Body Factors of Bonanno-Reuter Regular Black Holes. International Journal of Gravitation and Theoretical Physics. 2025. doi: Retrieved from https://ojs2.sciltp.com/journals/ijgtp/article/view/2507000889
Volume 1, Issue 1, 2025
Copyright (c) 2025 by the authors.
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This work is licensed under a Creative Commons Attribution 4.0 International License.

We study gravitational perturbations of the Bonanno--Reuter quantum-corrected black hole arising in the asymptotic safety scenario, focusing on quasinormal modes and grey-body factors. Assuming the renormalization group parameter $\tilde{\omega}$ is fixed to its phenomenologically motivated value, we treat the interpolation parameter $\gamma$ as free and investigate how it modifies the black hole's response to axial gravitational perturbations. Quasinormal frequencies are computed using the sixth-order WKB method with Pade approximants, and their dependence on $\gamma$ and the black hole mass $M$ is analyzed. We find that the Schwarzschild limit is rapidly recovered for large $M$ or large $\gamma$, while significant deviations arise in the quantum regime. The accuracy of the WKB results is confirmed by time-domain integration of the wave equation. Comparison of grey-body factors computed via both the WKB method and the quasinormal mode correspondence are in a good concordance. Our findings indicate that quantum corrections can leave significant imprints in the ringdown and radiation spectra, while preserving consistency with classical results in the appropriate limit.

Keywords:

Quasinormal modes Black holes Grey-body factors Gravitational perturbations Quantum-corrected geometry

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