Analytical QNMs of fields of various spin in the Hayward spacetime

TL;DR

This paper derives analytical formulas for the quasinormal modes of scalar, Dirac, and Maxwell fields in the Hayward black hole spacetime, applicable across different interpretations of the metric, with high accuracy for higher multipole numbers.

Contribution

It provides the first compact analytical expressions for QNMs of various spin fields in the Hayward black hole background, expanding understanding of black hole perturbations.

Findings

Analytical QNM formulas accurately approximate numerical results for bcl > 0.

Formulas applicable to different interpretations of the Hayward spacetime.

Enhanced understanding of field perturbations in regular black hole backgrounds.

Abstract

By employing an expansion in terms of the inverse multipole number, we derive analytic expressions for the quasinormal modes (QNMs) of scalar, Dirac, and Maxwell perturbations in the Hayward black hole (BH) background. The metric has three interpretations: as a model for a radiating BH, as a quantum-corrected BH owing to the running gravitational coupling in the Asymptotically Safe Gravity, and as a BH solution in the Effective Field Theory. We show that the obtained compact analytical formulas approximate QNMs with remarkable accuracy for $\ell > 0$.