A new approach to black hole quasinormal modes : A review of the asymptotic iteration method
Journal article
Cho, H. T., Cornell, A. S., Doukas, J., Huang, T.-R. and Naylor, Wade. (2012). A new approach to black hole quasinormal modes : A review of the asymptotic iteration method. Advances in Mathematical Physics. 2021, p. Article 281705. https://doi.org/10.1155/2012/281705
Authors | Cho, H. T., Cornell, A. S., Doukas, J., Huang, T.-R. and Naylor, Wade |
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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-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. |
Year | 2012 |
Journal | Advances in Mathematical Physics |
Journal citation | 2021, p. Article 281705 |
Publisher | Hindawi Publishing Corporation |
ISSN | 1687-9120 |
Digital Object Identifier (DOI) | https://doi.org/10.1155/2012/281705 |
Scopus EID | 2-s2.0-84863705791 |
Open access | Published as ‘gold’ (paid) open access |
Page range | 1-42 |
Funder | National Science Council of the Republic of China |
National Science Centre for Theoretical Sciences | |
Japan Society for the Promotion of Science (JSPS) | |
Publisher's version | License File Access Level Open |
Output status | Published |
Publication dates | |
Online | 2012 |
Publication process dates | |
Accepted | 15 Mar 2012 |
Deposited | 27 Jun 2023 |
Grant ID | NSC 99-2112-M-032-003-MY3 |
P09749 |
https://acuresearchbank.acu.edu.au/item/8z30q/a-new-approach-to-black-hole-quasinormal-modes-a-review-of-the-asymptotic-iteration-method
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Publisher's version
OA_Cho_2012_A_new_approach_to_black_hole.pdf | |
License: CC BY 3.0 | |
File access level: Open |
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