Perturbative quasinormal mode frequencies

TL;DR

This paper introduces a general perturbative framework for accurately computing high-order corrections to black hole quasinormal mode frequencies in deformed or modified gravity scenarios, with broad applications.

Contribution

It develops a novel method to calculate high-order perturbative corrections to quasinormal modes in deformed black hole solutions, enabling precise numerical and analytic analysis.

Findings

High-order corrections can be computed accurately using the proposed method.

The framework applies to various deformed black hole models.

Analytic properties of quasinormal modes are discussed for different parameters.

Abstract

We often encounter a situation that black hole solutions can be regarded as continuous deformations of simpler ones, or modify general relativity by continuous parameters. We develop a general framework to compute high-order perturbative corrections to quasinormal mode frequencies in such deformed problems. Our method has many applications, and allows to compute numerical values of the high-order corrections very accurately. For several examples, we perform this computation explicitly, and discuss analytic properties of the quasinormal mode frequencies for deformation parameters.