Quantum corrected black holes: testing the correspondence between grey-body factors and quasinormal modes

Abstract: Grey-body factors and quasinormal modes are two distinct characteristics of radiation near black holes, each associated with different boundary conditions. Nevertheless, a correspondence exists between them, which we use to calculate the grey-body factors of three recently constructed quantum-corrected black hole models. Our findings demonstrate that the grey-body factors are significantly influenced by the quantum corrections for some of the models under consideration, and the correspondence holds with reasonable accuracy across all three models. We confirm that the grey-body factors are less sensitive to the near-horizon corrections of the spacetime, because the grey-body factors are reproduced via the correspondence using only the fundamental mode and the first overtone.