Quasinormal modes of the four-dimensional black hole in Einstein-Weyl gravity

TL;DR

This paper investigates the quasinormal modes of scalar and electromagnetic fields around a non-Schwarzschild black hole in Einstein-Weyl gravity, revealing how these modes depend on a new parameter and identifying long-lived quasi-resonances.

Contribution

It provides the first detailed analysis of quasinormal modes in Einstein-Weyl black holes, including the dependence on the coupling parameter and the existence of quasi-resonances.

Findings

Mode frequencies depend linearly on the parameter p for larger angular momentum l.

Quasi-resonances exist for massive scalar fields, indicating long-lived modes.

Mode frequencies increase with the parameter p, showing a clear dependence on the black hole's properties.

Abstract

In this paper we consider quasi-normal modes of test scalar and electromagnetic fields in the background of a non-Schwarzschild black hole in the Einstein-Weyl gravity. We find the dependence of the modes on the new parameter $p$, which is related to the coupling constant $\alpha$, for different values of the angular parameter $l$ and show that when $l$ is increasing, the frequencies tend to linear dependence on $p$. We have also examined the case of a massive scalar field for which we have shown that the arbitrarily long lived modes (called quasi-resonances) exist in the spectrum.