Black hole quasinormal modes using the asymptotic iteration method
H.T. Cho (Tamkang U.), A.S. Cornell (Witwatersrand U.), Jason Doukas, (Kyoto U., Yukawa Inst., Kyoto), Wade Naylor (Doshisha U. & Osaka U.)

TL;DR
This paper demonstrates that the asymptotic iteration method (AIM) effectively computes quasinormal modes of various black holes, including Schwarzschild, SdS, and SAdS, offering an improved numerical approach.
Contribution
The paper introduces an improved version of AIM for calculating black hole quasinormal modes across different spacetime geometries.
Findings
Successfully computes quasinormal modes for Schwarzschild and SdS black holes.
Extends AIM to calculate SAdS quasinormal modes for spin zero perturbations.
Provides an improved AIM suitable for numerical implementation.
Abstract
In this article we show that the asymptotic iteration method (AIM) allows one to numerically find the quasinormal modes of Schwarzschild and Schwarzschild de Sitter (SdS) black holes. An added benefit of the method is that it can also be used to calculate the Schwarzschild anti-de Sitter (SAdS) quasinormal modes for the case of spin zero perturbations. We also discuss an improved version of the AIM, more suitable for numerical implementation.
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