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Spin‐weighted angular spheroidal functions
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In this article, the analytical properties of spin-weighted angular spheroidal functions introduced by Teukolsky are investigated by means of a series involving Jacobi polynomials.Abstract:
The analytic properties of the spin‐weighted angular spheroidal functions introduced by Teukolsky are investigated by means of a series involving Jacobi polynomials. This approach facilitates the numerical determination of eigenvalues, particularly in the case of complex frequencies.read more
Citations
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Black Holes in Theories with Large Extra Dimensions: a Review
TL;DR: In this article, a master equation for the propagation of fields with arbitrary spin in the induced-on-the-brane black hole background was derived, and all existing results in the literature for the emission of scalars, fermions and gauge bosons during the spin-down and Schwarzschild phases of the life of the black hole were reviewed.
Journal ArticleDOI
Eigenvalues and eigenfunctions of spin-weighted spheroidal harmonics in four and higher dimensions
TL;DR: In this paper, the angular dependence of the spin-weighted spheroidal harmonics corresponding to slowly damped quasinormal mode frequencies of the Kerr black hole was studied.
Journal ArticleDOI
Solutions to a generalized spheroidal wave equation: Teukolsky’s equations in general relativity, and the two‐center problem in molecular quantum mechanics
TL;DR: The Coulomb wave-function expansion as discussed by the authors is a generalization of Stratton's representation for generalized spheroidal wave functions that allows direct evaluation of asymptotic magnitude and phase.
Journal ArticleDOI
Analytic black hole perturbation approach to gravitational radiation
Misao Sasaki,Hideyuki Tagoshi +1 more
TL;DR: This paper reviews the analytic methods used to perform the post-Newtonian expansion of gravitational waves induced by a particle orbiting a massive, compact body, based on black hole perturbation theory and reviews some results of calculations of gravitational radiation emitted by a particles orbiting a black hole.
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Rotating black holes at future colliders: Greybody factors for brane fields
TL;DR: In this article, the authors studied the theoretical aspects of rotating black hole production and evaporation in extra dimension scenarios with TeV scale gravity, within the mass range in which the higher dimensional Kerr solution provides a good description.
References
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Perturbations of a rotating black hole. I. Fundamental equations for gravitational, electromagnetic, and neutrino-field perturbations
TL;DR: In this paper, the authors derived separable equations describing perturbations of a Kerr black hole, which can be used to study black-hole processes involving scalar, electromagnetic, neutrino or gravitational fields.
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