Bardeen spacetime as quantum corrected black hole: Grey-body factors and quasinormal modes of gravitational perturbations

TL;DR

This paper investigates quantum-corrected Bardeen black holes, analyzing gravitational perturbations, quasinormal modes, and grey-body factors to understand how quantum effects influence black hole ringdown and scattering properties.

Contribution

It derives the master equation for gravitational perturbations of quantum-corrected Bardeen black holes and analyzes their quasinormal modes and grey-body factors using advanced numerical methods.

Findings

Quantum corrections increase quasinormal mode frequencies and slow decay.

Deformation suppresses low-frequency transmission and shifts grey-body factors.

Quantum effects leave a clear imprint on black hole scattering and ringdown signals.

Abstract

We study axial gravitational perturbations of the asymptotically flat Bardeen spacetime interpreted as a string-T-duality-inspired quantum-corrected Schwarzschild black hole. Starting from the anisotropic-fluid background, we derive the Regge--Wheeler-type master equation and the corresponding effective potential, and compute quasinormal modes with high-order WKB--Pad\'e and time-domain methods. We show that increasing the quantum-correction scale $\ell_0$ raises and shifts the barrier inward, causing the black hole to ring at higher frequencies and decay more slowly. The same deformation suppresses low-frequency transmission, shifts the onset of grey-body factors to larger frequencies, and reorganizes the partial and total absorption cross-sections. Overall, the results identify a clear and consistent imprint of short-distance regularization on both ringdown and scattering observables.