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Analytical solutions in rotating linear dilaton black holes: resonant frequencies, quantization, greybody factor, and Hawking radiation

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arxiv 1606.00896 v3 pith:JCTVPW2S submitted 2016-06-02 gr-qc

classification gr-qc
keywords dilatonblacklinearrotatingsolutionsfactorfieldsfrequencies
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Charged massive scalar fields are studied in the gravitational, electromagnetic, dilaton, and axion fields of rotating linear dilaton black holes. In this geometry, we separate the covariant Klein-Gordon equation into radial and angular parts and obtain the exact solutions of both the equations in terms of the confluent Heun functions. Using the radial solution, we study the problems of resonant frequencies, entropy/area quantization, and greybody factor. We also analyze the behavior of the wave solutions near the event horizon of the rotating linear dilaton black hole and derive its Hawking temperature via the Damour-Ruffini-Sannan method.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  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.

  2. Quasinormal Modes and Greybody Factors of Scalar Field Perturbations in the NED Corrected Charged Black Hole Spacetime

    gr-qc 2025-04 conditional novelty 5.0 of 10

    In the NED-corrected charged black hole spacetime, scalar-field quasinormal mode frequencies and damping rates both decrease with the NED parameter, and the low-frequency greybody factor increases.

  3. The Spectroscopy of Kerr-Einstein-Maxwell-Dilaton-Axion: Exact Quasibound States, Scalar Cloud, Horizon's Boson Statistics and Superradiance

    gr-qc 2025-01 reject novelty 4.0 of 10

    Exact confluent-Heun solutions for massive scalar fields around Kerr-EMDA black holes yield quantized quasibound frequencies, but the scalar cloud and Hawking flux results rely on dropped or discarded terms.

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