Quasinormal Mode/Grey-body Factor Correspondence for Kerr Black Holes

This paper establishes a connection between quasinormal modes (QNMs) and grey-body factors for Kerr black holes, a significant result in black hole physics. The correspondence is derived using WKB methods and validated against numerical results. The study's importance lies in providing a theoretical framework to understand how black holes interact with their environment by relating the characteristic oscillations (QNMs) to the absorption and scattering of radiation (grey-body factors). The paper's focus on the eikonal limit and inclusion of higher-order WKB corrections enhances the accuracy and applicability of the correspondence.