Quasinormal modes and Hawking radiation of a non-minimal Einstein-Yang-Mills regular black hole

Abstract We investigate the properties of quasinormal modes (QNMs), greybody factor,emission rate and high-energy absorption cross-section of Hawking radiation for a massless scalar field over a regular black hole (BH), which is one of the Wu-Yang monopole solutions in the non-minimal Einstein-Yang-Mills theory. The results indicate the stability of the system under scalar perturbation. The time-domain profile is also explored as a cross validation.We also find some non-trivial behaviors of the QNMs for different values of magnetic charge Q and coupling parameter α , including the spiral oscillation pattern of the frequency in the complex plane as well as the behavior of the spiral with respect to multiple number ℓ and overtone number n . Additionally,by employing pseudo-spectral (PS) method, we validate the ‘outburst of overtones’ phenomenon and the correspondence between greybody factor and low overtone modes. The former manifests as large deviation of high overtone frequency from Reissner–Nordström (R-N) limit. This is attributed to its sensitivity to the subtle deformation on effective potential near the horizon. Thus we believe the ‘outburst of overtones’ phenomenon provides a novel way to detect marginally deformation in spacetime geometry.