2011/06/23 by H. T. Cho, A. S. Cornell, Jason Doukas +3 · 1 citation
Engineering · Physics and Astronomy · #Eigenvalues and eigenvectors #Equations of motion #Geophysics and Sensor Technology #Harmonics #Metric (unit) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum and Classical Electrodynamics #Rotation (mathematics) #Scalar (mathematics) #Wave equation #gr-qc #hep-th
paper · pdf · doi:10.1143/ptp.128.227
published as Prog. Theor. Phys. 128 (2012), 227-241 · 11 pages, two figures, one table; vz. 2: reference added and grammar corrected
arxiv created 2011/06/23 · openalex publication_date 2012/08/01 · arxiv updated 2012/09/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.