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Exact Greybody Factors for the Brane Scalar Field of Five-dimensional Rotating Black Holes

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arxiv 1901.10828 v1 pith:XG4KUFCM submitted 2019-01-30 gr-qc hep-phhep-th

Young-Hwan Hyun , Yoonbai Kim , Seong Chan Park This is my paper · ORCID
classification gr-qchep-phhep-th
keywords exactgreybodyblackfactorfactorsfive-dimensionalholesrotating
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We study scalar perturbations of the five-dimensional rotating black holes and find an exact solution giving exact description of the Hawking radiation. Mathematically, the full solution for this s-wave mode is expressed in terms of the prolate spheroidal wave function with complex parameters. By using the spheroidal joining factor, we write the corresponding boundary condition and greybody factors. We also check that the exact result reproduces the low frequency limit of the greybody factor and shows good agreement with the known numerical results.

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Cited by 1 Pith paper

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  1. The Spectroscopy of the 2+1 Dimensional Analog Black Hole in Photon-Fluid Model

    gr-qc 2025-09 conditional novelty 5.0 of 10

    For the 2+1D photon-fluid analog black hole, the paper derives exact quasibound states, Hawking radiation, superradiance amplification, and greybody factors, finding superradiance for ̟ < ω < m_l Ω_H.

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