Quasinormal modes and Hawking radiation of a charged Weyl black hole

TL;DR

This paper studies the stability, quasinormal modes, and Hawking radiation of a charged Weyl black hole, revealing how a parameter influences observable features and tail decay, with implications for future detection.

Contribution

It introduces analysis of scalar perturbations and Hawking radiation in a charged Weyl black hole, highlighting the impact of the parameter λ on observable phenomena.

Findings

System is stable under scalar perturbation.

Quasinormal modes and Hawking radiation increase with λ.

Exponential decay in ringing tail becomes prominent as λ grows.

Abstract

We investigate the scalar field system over a charged Weyl black hole, depicted by a parameter $\lambda$. It is found that the imaginary part of the quasinormal mode spectra is always negative and the perturbation does not increase with the time, indicating that the system is stable under scalar field perturbation. Furthermore, the quasinormal mode spectra and Hawking radiation exhibit a qualitatively similar characteristic in that they both rise with rising $\lambda$ and approach a constant when $\lambda$ is large enough. Especially, we would like to emphasize that an exponential decay obviously emerges in the phase of the ringing tail as $\lambda$ increases. It indicates that the characteristic parameter $\lambda$ has an obvious imprint on the ringing tail, which is expected to be detected by future observations.