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
Permalink -

https://acuresearchbank.acu.edu.au/item/8z30q/a-new-approach-to-black-hole-quasinormal-modes-a-review-of-the-asymptotic-iteration-method

Download files


Publisher's version
OA_Cho_2012_A_new_approach_to_black_hole.pdf
License: CC BY 3.0
File access level: Open

  • 32
    total views
  • 12
    total downloads
  • 1
    views this month
  • 1
    downloads this month
These values are for the period from 19th October 2020, when this repository was created.

Export as

Related outputs

Using technology to understand student ‘misconceptions’ in classical mechanics
Naylor, Wade, Chrysostomou, Anna, Carleschi, Emanuela and Cornell, Alan. (2022). Using technology to understand student ‘misconceptions’ in classical mechanics. In Teaching Innovation for the 21st Century: Showcasing UJ Teaching and Learning 2021 pp. 94-101 Jacana Media.
Correlations between matriculation marks and mechanics misconceptions
Carleschi, Emanuela, Chrysostomou, Anna, Cornell, Alan and Naylor, Wade. (2022). Correlations between matriculation marks and mechanics misconceptions. The 66th Annual Conference of the SA institute of Physics. Virtual Conference 04 - 08 Jul 2022 South Africa: Annual Conference of the South African Institute of Physics. pp. 444-449
Probing the effect on student conceptual understanding due to a forced mid-semester transition to online teaching
Carleschi, Emanuela, Chrysostomou, Anna, Cornell, Alan S. and Naylor, Wade. (2022). Probing the effect on student conceptual understanding due to a forced mid-semester transition to online teaching. European Journal of Physics. 43(3), p. Article 035702. https://doi.org/10.1088/1361-6404/ac41d9
Polarising questions in the Force Concept Inventory
Chrysostomou, Anna, Carleschi, Emanuela, Cornell, Alan and Naylor, Wade. (2021). Polarising questions in the Force Concept Inventory. The 65th Annual Conference of the South African Institute of Physics. Virtual Conference 22 - 30 Jul 2021 South Africa: Annual Conference of the South African Institute of Physics. pp. 412-417
Gender gap and polarisation of physics on global courses
Alinea, Allan L. and Naylor, Wade. (2017). Gender gap and polarisation of physics on global courses. Physics Education. 33(2), p. Article 03.
Logarithmic divergences in the κ-inflationary power spectra computed through the uniform approximation
Alinea, Allan L., Kubota, Takahiro and Naylor, Wade. (2016). Logarithmic divergences in the κ-inflationary power spectra computed through the uniform approximation. Journal of Cosmology and Astroparticle Physics. 2016(2), pp. 1-31. https://doi.org/10.1088/1475-7516/2016/02/028
Polarization of physics on global courses
Alinea, Allan L. and Naylor, Wade. (2015). Polarization of physics on global courses. Physics Education. 50(2), pp. 210-217. https://doi.org/10.1088/0031-9120/50/2/210
Adiabatic regularisation of power spectra in κ-inflation
Alinea, Allan L., Kubota, Takahiro, Nakanishi, Yukari and Naylor, Wade. (2015). Adiabatic regularisation of power spectra in κ-inflation. Journal of Cosmology and Astroparticle Physics. 2015(6), pp. 1-17. https://doi.org/10.1088/1475-7516/2015/06/019
Gravitino fields in Schwarzschild black hole spacetimes
Chen, C.-H., Cho, H. T., Cornell, A. S., Harmsen, G. and Naylor, Wade. (2015). Gravitino fields in Schwarzschild black hole spacetimes. Chinese Journal of Physics. 53(6), p. Article 110101. https://doi.org/10.6122/CJP.20150511
Vacuum-excited surface plasmon polaritons
Naylor, Wade. (2015). Vacuum-excited surface plasmon polaritons. Physical Review A. 91(5), p. Article 053804. https://doi.org/10.1103/PhysRevA.91.053804
Scalar spheroidal harmonics in five dimensional Kerr-(A)dS
Cho, Hing Tong, Cornell, Alan, Doukas, Jason and Naylor, Wade. (2012). Scalar spheroidal harmonics in five dimensional Kerr-(A)dS. Progress of Theoretical and Experimental Physics. 128(2), pp. 227-241. https://doi.org/10.1143/PTP.128.227
Towards particle creation in a microwave cylindrical cavity
Naylor, Wade. (2012). Towards particle creation in a microwave cylindrical cavity. Physical Review A. 86(2), p. Article 023842. https://doi.org/10.1103/PhysRevA.86.023842
Black hole quasinormal modes using the asymptotic iteration method
Cho, H. T., Cornell, A. S., Doukas, J. and Naylor, W.. (2010). Black hole quasinormal modes using the asymptotic iteration method. Classical and Quantum Gravity. 27(15), pp. 1-12. https://doi.org/10.1088/0264-9381/27/15/155004
Graviton emission from a higher-dimensional black hole
Cornell, Alan S., Naylor, Wade and Sasaki, Misao. (2006). Graviton emission from a higher-dimensional black hole. Journal of High Energy Physics. 2006(2), p. Article 12. https://doi.org/10.1088/1126-6708/2006/02/012