Quasinormal Mode/Grey-body Factor Correspondence for Kerr Black Holes
Published:Dec 29, 2025 14:47
•1 min read
•ArXiv
Analysis
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.
Key Takeaways
- •Establishes a correspondence between quasinormal modes and grey-body factors for Kerr black holes.
- •Uses WKB methods to derive the correspondence.
- •Validates the results against numerical simulations.
- •The correspondence is most accurate in the eikonal limit and with higher-order WKB corrections.
- •The correspondence breaks down in the superradiant regime.
Reference
“The paper derives WKB connection formulas that relate Kerr quasinormal frequencies to grey-body transmission coefficients.”