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
AuthorsCho, H. T., Cornell, A. S., Doukas, J., Huang, T.-R. and Naylor, Wade
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.

Year2012
JournalAdvances in Mathematical Physics
Journal citation2021, p. Article 281705
PublisherHindawi Publishing Corporation
ISSN1687-9120
Digital Object Identifier (DOI)https://doi.org/10.1155/2012/281705
Scopus EID2-s2.0-84863705791
Open accessPublished as ‘gold’ (paid) open access
Page range1-42
FunderNational 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 statusPublished
Publication dates
Online2012
Publication process dates
Accepted15 Mar 2012
Deposited27 Jun 2023
Grant IDNSC 99-2112-M-032-003-MY3
P09749
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