Gravitational perturbations of the Hayward spacetime and testing the correspondence between quasinormal modes and grey-body factors
arXiv:2508.19178 · doi:10.1007/s10773-025-06198-w
Abstract
The paper studies axial gravitational perturbations of the Hayward black hole, a regular geometry that also arises as an effective solution in asymptotically safe gravity. By computing grey-body factors with the 6th-order WKB method and comparing them to predictions based on the quasinormal modes, the correspondence between transmission coefficients and quasinormal spectra is verified. Quantum corrections, parametrized by , are shown to suppress both the grey-body factors and the absorption cross-section, while the correspondence remains accurate at the percent level for low multipoles and essentially exact for higher ones.
arXiv commentnew material and references added, the version to match the published journal version
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