Quasinormal modes for asymptotic safe black holes

TL;DR

This paper studies how quantum corrections from asymptotic safety influence the quasinormal modes of black holes, revealing modifications in oscillation frequencies and damping while maintaining stability.

Contribution

It provides an analytical and numerical analysis of quasinormal modes in asymptotic safe black holes, incorporating non-perturbative quantum effects on the metric.

Findings

Quantum corrections increase oscillation frequencies.

Quantum corrections decrease damping rates.

Black hole stability is preserved despite corrections.

Abstract

Under the hypothesis of asymptotic safety of gravity, the static, spherically symmetric black hole solutions in the infrared limit are corrected by non-perturbative effects. Specifically, the metric is modified by the running of gravitational couplings. In this work, we investigate the effects of this correction to the quasinormal modes (QNMs) of a test scalar field propagating in this kind of black hole background analytically and numerically. It is found that although the quasi-period frequencies and the damping of oscillations are respectively enhanced and weakened by the quantum correction term, the stability of the black hole remains.