Greybody Factor, Resonant Frequencies, and Entropy Quantization of Charged Scalar Fields in the Kerr-EMDA Black Hole
This paper investigates charged massive scalar field perturbations on the Kerr-EMDA black hole background by deriving exact analytical solutions in terms of confluent Heun functions to determine a mass-dependent resonant frequency spectrum, a parameter-dependent entropy quantization that diverges at extremality, and the first closed-form greybody factor for this geometry, thereby revealing how electromagnetic coupling and dilaton deformation fundamentally alter the black hole's wave scattering and thermodynamic properties compared to standard Kerr and Kerr-Newman cases.