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    Title: A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method
    Authors: Cho, Hing-tong;A. S. Cornell;Jason Doukas;Huang, T.-R.;Wade Naylor
    Contributors: 淡江大學物理學系
    Keywords: Black Hole Quasinormal Modes;General Relativity and Quantum Cosmology (gr-qc);High Energy Physics - Theory (hep-th)
    Date: 2012
    Issue Date: 2013-02-25 12:07:04 (UTC+8)
    Publisher: New York: Hindawi Publishing Corporation
    Abstract: 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-Nordstrom (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 2QNMs 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.
    Relation: Advances in Mathematical Physics , 281705(42 pages)
    DOI: 10.1155/2012/281705
    Appears in Collections:[Graduate Institute & Department of Physics] Journal Article

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