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Quasinormal Modes of Charged Fields in Reissner-Nordstrom Backgrounds by Borel-Pade Summation of Bender-Wu Series

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15 Pith papers citing it
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abstract

We extend recent work of Hatsuda on the computation of quasinormal mode frequencies via analytic continuation of bound state energies and Borel-Pade resummation of the Bender-Wu perturbation series to the case of charged fields in the background of Reissner-Nordstrom black holes. We compare the quasinormal mode frequencies obtained in this manner to calculations using Leaver's method of continued fractions, and find good agreement for damped modes (DMs) with imaginary part remaining finite in the extremal limit. We also present numerical evidence that the frequencies of certain zero-damped modes (ZDMs) with imaginary part tending to zero in the extremal limit can be computed when constructing the Bender-Wu expansion about a peak of the potential inside the outer horizon of the black hole.

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gr-qc 15

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2026 15

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representative citing papers

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Numerical greybody factors for the Dymnikova black hole show temperature-driven luminosity suppression near the extremal remnant, with increasing fermion dominance in the residual massless flux.

Scattering and Hawking Radiation from Einstein--Euler--Heisenberg--de Sitter Black Holes

gr-qc · 2026-06-02 · unverdicted · novelty 4.0

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