A Unified Spectral Approach for Quasinormal Modes of Lee-Wick Black Holes

TL;DR

This paper develops a spectral method to analyze quasinormal modes of Lee-Wick black holes across various perturbations, revealing purely imaginary modes in extremal cases indicating quick, non-oscillatory stabilization.

Contribution

It introduces a unified spectral approach to study quasinormal modes of Lee-Wick black holes, covering scalar, electromagnetic, and gravitational perturbations in all horizon configurations.

Findings

Purely imaginary quasinormal modes appear in extremal and near-extremal black holes.

The spectral method effectively captures the stability characteristics of Lee-Wick black holes.

Analysis includes diverse horizon structures, enhancing understanding of black hole perturbations.

Abstract

In this paper, we undertake a comprehensive examination of quasinormal modes linked to Lee-Wick black holes, delving into scalar, electromagnetic, and gravitational perturbations using the spectral method. Such black holes can display a rich structure of horizons, and our analysis considers all the representative scenarios, including extremal and non-extremal situations. In particular, we show that purely imaginary quasinormal modes emerge for extremal and near-extremal configurations, suggesting a rapid return to equilibrium without oscillation.