Asymptotic iteration method for spheroidal harmonics of higher-dimensional Kerr-(A)dS black holes

Journal Article · Tue Sep 15 00:00:00 EDT 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.064022· OSTI ID:21322735

Cho, H T ^[1]; Cornell, A S ^[2]; Doukas, Jason ^[3]; Naylor, Wade ^[4]

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1. Department of Physics, Tamkang University, Tamsui, Taipei, Taiwan (China)
2. National Institute for Theoretical Physics and School of Physics, University of the Witwatersrand, Wits 2050 (South Africa)
3. Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria 3010 (Australia)
4. Department of Physics, Ritsumeikan University, Kusatsu, Shiga 525-8577 (Japan)

In this work we calculate the angular eigenvalues of the (n+4)-dimensional simply rotating Kerr-(A)dS spheroidal harmonics using the asymptotic iteration method. We make some comparisons between this method and that of the continued fraction method and use the latter to check our results. We also present analytic expressions for the small rotation limit up to O(c{sup 3}) with the coefficient of each power up to O({alpha}{sup 2}), where c=a{omega} and {alpha}=a{sup 2}{lambda} (a is the angular velocity, {omega} the frequency, and {lambda} the cosmological constant)

• OSTI ID: 21322735
• Journal Information: Physical Review. D, Particles Fields, Vol. 80, Issue 6; Other Information: DOI: 10.1103/PhysRevD.80.064022; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR VELOCITY
ANTI DE SITTER SPACE
ASYMPTOTIC SOLUTIONS
BLACK HOLES
COMPARATIVE EVALUATIONS
COMPUTERIZED SIMULATION
CONTINUED FRACTIONS
COSMOLOGICAL CONSTANT
EIGENVALUES
HARMONICS
KERR FIELD
ROTATION