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Quasibound States, Stability and Wave Functions of the Test Fields in the Consistent 4D Einstein-Gauss-Bonnet Gravity

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arxiv 2107.02065 v2 pith:WZRL5VPD submitted 2021-07-05 gr-qc

classification gr-qc
keywords consistenteinstein-gauss-bonnetfieldsgravityquasiboundstatestestblack
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We examine the interaction between quantum test particles and the gravitational field generated by a black hole solution that was recently obtained in the consistent 4-dimensional Einstein-Gauss-Bonnet gravity. While quasinormal modes of scalar, electromagnetic, and Dirac fields have been recently studied in this theory, there is no such study for the quasibound states. Here, we calculate the spectrum of quasibound states for the test fields in a spherically symmetric and asymptotically flat black hole solution in the consistent 4-dimensional Einstein-Gauss-Bonnet gravity. The quasispectrum of resonant frequencies is obtained by using the polynomial condition associated to the general Heun functions. We also discuss the stability of the systems for some values of the Gauss-Bonnet coupling constant.

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Cited by 2 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. Massive scalar field perturbations of 4D de Sitter Einstein-Gauss-Bonnet black holes

    gr-qc 2025-05 conditional novelty 4.0 of 10

    Massive scalar perturbations of 4D Einstein-Gauss-Bonnet de Sitter black holes are stable and show three quasinormal mode branches, including a non-perturbative de Sitter branch that disappears in the Schwarzschild-de...

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