Quasinormal modes of a charged spherically symmetric black hole in bumblebee gravity

TL;DR

This paper studies the quasinormal modes of a charged black hole in bumblebee gravity, revealing how Lorentz symmetry breaking affects black hole oscillations through numerical methods.

Contribution

It provides the first analysis of quasinormal modes for charged black holes in bumblebee gravity using two numerical approaches, comparing their accuracy.

Findings

Quasinormal frequencies are computed for scalar and gravito-electromagnetic perturbations.

The continued fraction and asymptotic iteration methods are evaluated for efficiency.

Results show the impact of Lorentz symmetry breaking on black hole oscillation spectra.

Abstract

Recently, exact charged spherically symmetric black hole solutions within the framework of bumblebee gravity have been obtained, where the Lorentz symmetry is spontaneously broken due to the nonvanishing vacuum expectation value of the bumblebee field. In this work, we investigate the quasinormal modes of this black hole. We compute the quasinormal frequencies corresponding to the scalar perturbation and the gravito-electromagnetic coupled perturbation using both the continued fraction method and the asymptotic iteration method. A detailed comparison of the results obtained from the two approaches is presented to evaluate their accuracy and efficiency in this Lorentz-violating background.