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Analytic expressions for grey-body factors of the general parametrized spherically symmetric black holes

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arxiv 2410.15232 v1 pith:FDJWWGZE submitted 2024-10-19 gr-qc

classification gr-qc
keywords factorsgrey-bodyanalyticexpressionsgeometryblackcoefficientsdeviation
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In light of the recently discovered connection between grey-body factors and quasinormal ringing, we derive analytic expressions for the grey-body factors of generic parametrized spherically symmetric and asymptotically flat black holes. These expressions are presented as expansions in terms of the inverse multipole number and the coefficients of the parametrization. The obtained analytic formulas serve as good approximations whenever the deviation from the Schwarzschild geometry is not very large. We demonstrate that the primary parameter determining the grey-body factors is the deviation of the event horizon radius from its Schwarzschild value, while the higher-order coefficients of the parametrization, which govern the near-horizon geometry, are much less significant. This finding is consistent with recent observations that grey-body factors are considerably more stable against small deformations of the near-horizon geometry than quasinormal modes.

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Cited by 4 Pith papers

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

  1. Quasinormal modes and grey-body factors of Morris-Thorne wormholes

    gr-qc 2024-12 reject novelty 6.0 of 10

    Sixth-order WKB formulas for wormhole quasinormal modes and grey-body factors are presented, but the grey-body factor part is internally inconsistent.

  2. Bonanno-Reuter regular black hole: quasi-resonances, grey-body factors and absorption cross-sections of a massive scalar field

    gr-qc 2025-10 conditional novelty 4.0 of 10

    Damping of massive scalar quasinormal modes decreases with field mass in the Bonanno-Reuter black hole, and grey-body factors shift to higher frequencies.

  3. Correspondence between quasinormal modes and grey-body factors for massive fields in Schwarzschild-de Sitter spacetime

    gr-qc 2024-12 conditional novelty 4.0 of 10

    For massive scalar fields around de Sitter black holes, grey-body factors computed from quasinormal modes agree with direct WKB calculations to high precision, even for low multipoles.

  4. Correspondence between quasinormal modes and grey-body factors of spherically symmetric traversable wormholes

    gr-qc 2024-12 conditional novelty 4.0 of 10

    For three families of traversable wormholes, the authors verify that the WKB correspondence between quasinormal modes and grey-body factors, known for black holes, holds to second order beyond the eikonal limit.

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