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

Abstract

In this work we calculate the angular eigenvalues of the $(n+4)$-dimensional {\it simply} rotating Kerr-(A)dS spheroidal harmonics using the Asymptotic Iteration Method (AIM). We make some comparisons between this method and that of the Continued Fraction Method (CFM) and use the latter to check our results. We also present analytic expressions for the small rotation limit up to $O(c^3)$ with the coefficient of each power up to $O({\alpha }^2)$, where $c=a\omega$ and $\alpha =a^2\Lambda$ ($a$ is the angular velocity, $\omega$ the frequency and $\Lambda$ the cosmological constant).

7 pages, 6 tables, LaTeX; typos corrected and reference added; table clarity improved, 2 figures and more references added (now 9 pages)

References in corpus (4)

• Quasinormal modes of black holes and black branes
• Gravitational instability of simply rotating AdS black holes in higher dimensions
• Superradiant Instability of Five-Dimensional Rotating Charged AdS Black Holes
• Graviton emission from simply rotating Kerr-de Sitter black holes: Transverse traceless tensor graviton modes

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• Massive Scalar Perturbations on Myers-Perry-de Sitter Black Holes with a Single Rotation
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• Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field
• Superradiance Instability of Small Rotating AdS Black Holes in Arbitrary Dimensions
• The Asymptotic Iteration Method Revisited
• Quasi-normal modes for doubly rotating black holes
• Spin-3/2 fields in $D$-dimensional Schwarzschild black hole space-times
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• Gravitational parameter estimation in a waveguide
• Splitting of degenerate states in one-dimensional quantum mechanics
• Natural polynomials for Kerr quasi-normal modes
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• Exceptional Lines and Excitation of (Nearly) Double-Pole Quasinormal Modes: A Semi-Analytic Study in the Nariai Black Hole
• Quasi-normal modes of spin-3/2 fields in $D$-dimensional Reissner-Nordström black hole spacetimes using the continued fraction method
• Superradiance and Quasinormal Modes of Massive Scalar Fields around Kerr Black Holes in Einstein-Maxwell-Dilaton-Axion Theory with Perfect Fluid Dark Matter