Scalar spheroidal harmonics in five dimensional Kerr-(A)dS

Journal article


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
AuthorsCho, Hing Tong, Cornell, Alan, Doukas, Jason and Naylor, Wade
Abstract

We rewrite expressions for a general five dimensional metric on a Kerr-(A)dS black hole background, based on the derivation given be Chen, Lü and Pope [W. Chen, H. Lu and C. N. Pope, Class. Quantum Grav. 23 (2006), 5323, hep-th/0604125]. The Klein-Gordon equation is explicitly separated using this form and we show that the angular part of the wave equation leads to just one spheroidal wave equation. We then present results for the perturbative expansion of the angular eigenvalue in powers of the rotation parameters up to 6th order and compare numerically with the continued fraction method.

Year2012
JournalProgress of Theoretical and Experimental Physics
Journal citation128 (2), pp. 227-241
PublisherOxford University Press
ISSN1347-4081
Digital Object Identifier (DOI)https://doi.org/10.1143/PTP.128.227
Scopus EID2-s2.0-84865503820
Page range227-241
Publisher's version
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All rights reserved
File Access Level
Controlled
Output statusPublished
Publication dates
Online01 Aug 2012
Publication process dates
Deposited04 Oct 2023
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