Quasinormal modes and ringdown waveform of the Frolov black hole

TL;DR

This study analyzes scalar perturbations and quasinormal modes of the Frolov black hole, a quantum gravity-induced regular black hole, revealing its stability and the influence of quantum effects on decay rates and oscillation behaviors.

Contribution

It provides the first detailed analysis of quasinormal modes and ringdown waveforms for the Frolov black hole, highlighting quantum gravity effects on stability and decay patterns.

Findings

Quasinormal frequencies are in the lower half-plane, indicating stability.

Late-time tails follow a power-law decay pattern.

Quantum gravity slows down the decay modes.

Abstract

In this paper we investigate scalar perturbation over a Frolov black hole (BH), which is a regular BH induced by the quantum gravity effect. The quasinormal frequencies of a scalar field always consistently reside in the lower half-plane, and the time-domain evolution of the field demonstrates a decaying behavior, with the late-time tail exhibiting a power-law pattern. These observations collectively suggest the stability of a Frolov BH against scalar perturbation. Additionally, our study reveals that the quantum gravity effect leads to slower decay modes. For the case of the angular quantum number $l=0$, the oscillation exhibits non-monotonic behavior with the quantum gravity parameter $\alpha_0$. However, once $l\geq 1$, the angular quantum number surpasses the influence of the quantum gravity effect.