A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method | Zendy

H. T. Cho | Zendy; Alan S. Cornell | Zendy; Jason Doukas | Zendy; Ting-Ming Huang | Zendy; Wade Naylor | Zendy

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A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method

Author(s) -

H. T. Cho,

Alan S. Cornell,

Jason Doukas,

Ting-Ming Huang,

Wade Naylor

Publication year - 2012

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2012/281705

Subject(s) - wkb approximation , black hole (networking) , physics , quasinormal mode , schwarzschild radius , rotating black hole , schwarzschild metric , theoretical physics , gravitation , quantum mechanics , general relativity , computer science , angular momentum , routing protocol , computer network , routing (electronic design automation) , link state routing protocol

We discuss how to obtain black hole quasinormal modes (QNMs) using the asymptotic iteration method (AIM), initially developed to solve second-order ordinary differential equations. We introduce the standard version of this method and present an improvement more suitable for numerical implementation. We demonstrate that the AIM can be used to find radial QNMs for Schwarzschild, Reissner-Nordström (RN), and Kerr black holes in a unified way. We discuss some advantages of the AIM over the continued fractions method (CFM). This paper presents for the first time the spin 0, 1/2 and 2 QNMs of a Kerr black hole and the gravitational and electromagnetic QNMs of the RN black hole calculated via the AIM and confirms results previously obtained using the CFM. We also present some new results comparing the AIM to the WKB method. Finally we emphasize that the AIM is well suited to higher-dimensional generalizations and we give an example of doubly rotating black holes

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