Quasinormal ringing of regular black holes in asymptotically safe gravity: the importance of overtones

Understand

Asymptotically safe gravity is based on the idea that the main contribution to the Schwarzschild-like black hole spacetime is due to the value of the gravitational coupling which depends on the distance from the origin and approaches its classical value in the far zone.

• However, at some stage this approach has an arbitrariness of choice of some identification parameter.
• The two cases of identification are considered here: first, by the modified proper length (the Bonanno-Reuter metric), and second, by the Kretschmann scalar (the metric for this case coincides, up to the redefinition of constants, with the Hayward metric).
• Even though the quasinormal modes of these metrics have been extensively studied, a number of interesting points were missed.