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

doi:10.1155/2012/281705

淡江大學機構典藏 > 理學院 > 物理學系暨研究所 > 期刊論文 > Item 987654321/80648

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题名:	A New Approach to Black Hole Quasinormal Modes: A Review of the Asymptotic Iteration Method
作者:	Cho, Hing-tong;A. S. Cornell;Jason Doukas;Huang, T.-R.;Wade Naylor
贡献者:	淡江大學物理學系
关键词:	Black Hole Quasinormal Modes;General Relativity and Quantum Cosmology (gr-qc);High Energy Physics - Theory (hep-th)
日期:	2012
上传时间:	2013-02-25 12:07:04 (UTC+8)
出版者:	New York: Hindawi Publishing Corporation
摘要:	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.
關聯:	Advances in Mathematical Physics , 281705(42 pages)
DOI:	10.1155/2012/281705
显示于类别:	[物理學系暨研究所] 期刊論文

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