Perturbations of massless external fields on magnetically charged black holes in string-inspired Euler-Heisenberg theory*

Abstract This study investigates the perturbations of massless scalar and electromagnetic fields on the magnetically charged black holes in string-inspired Euler-Heisenberg theory. We calculate the quasinormal frequencies (QNFs) and discuss the influence of black hole magnetic charge , coupling parameter , and angular momentum l on QNFs, emphasizing the relationship between these parameters and the behavior of QNMs. Results obtained using the AIM method were in good agreement with those obtained using the WKB method. In addition, the WKM method was used to calculate the greybody factor to understand how it is affected by the black hole magnetic charge and coupling parameter .