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

H. T. Cho; Alan S. Cornell; Jason Doukas; Wade Naylor

doi:10.1143/PTP.128.227

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

H. T. Cho, Alan S. Cornell, Jason Doukas, Wade Naylor

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	227-241
Number of pages	15
Journal	Progress of Theoretical Physics
Volume	128
Issue number	2
DOIs	https://doi.org/10.1143/PTP.128.227
Publication status	Published - Aug 2012
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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AU - Cornell, Alan S.

AU - Doukas, Jason

AU - Naylor, Wade

PY - 2012/8

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AB - 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.

UR - https://www.scopus.com/pages/publications/84865503820

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

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