Gravitational Quasinormal Modes and Grey-Body Factors of Bonanno–Reuter Regular Black Holes

S. V. Bolokhov; Milena Skvortsova

doi:10.53941/ijgtp.2025.100003

Abstract

We study gravitational perturbations of the Bonanno--Reuter quantum-corrected black hole arising in the asymptotic safety scenario, focusing on QNMs and grey-body factors. Assuming the RG parameter ω~is fixed to its phenomenologically motivated value, we treat the interpolation parameter γ 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 Padé approximants, and their dependence on γ and the black hole mass M is analyzed. We find that the Schwarzschild limit is rapidly recovered for large M or large γ, 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.

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