Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory

Understand

The Effective Field Theory (EFT) of perturbations on an arbitrary background geometry with a timelike scalar profile has been recently constructed in the context of scalar-tensor theories.

• Unlike General Relativity, the regular Hayward metric is realized as an exact background metric in the Effective Field Theory with timelike scalar profile without resorting to special matter field, such as nonlinear electrodynamics.
• The fundamental quasinormal mode for axial graviational perturbations of this black hole has been considered recently with the help of various methods.
• Here we make a further step in this direction and find that, unlike the fundamental mode, a few first overtones deviate from their Schwarzschild limit at a much higher rate.