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A new method for exact results on Quasinormal Modes of Black Holes

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arxiv 2112.11434 v2 pith:DXEGBEQM submitted 2021-12-21 hep-th gr-qcnlin.SI

A new method for exact results on Quasinormal Modes of Black Holes

Davide Fioravanti , Daniele Gregori This is my paper
classification hep-th gr-qcnlin.SI
keywords exactmethodmodesquasinormalbetheblackdifferentequations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a new method for writing simple exact equations characterizing gravity solutions among which black holes and in particular the quasinormal modes. More precisely, we derive the full system of functional and Thermodynamic Bethe Ansatz non linear integral equations of quantum integrability. In particular, we prove that the Quasinormal Modes verify different equivalent exact quantization conditions and identify them with Bethe roots. We numerically solve the integral equation and compare the results with other methods. Eventually, we can definitely certify its simplicity, accuracy and effectiveness. Furthermore, this method connects different unexpected fields and paves the way for innovative ways of investigations in gravity and gauge theories.

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Cited by 4 Pith papers

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

  1. Analytic approaches to perturbations of strongly coupled Yang-Mills plasma

    hep-th 2026-06 unverdicted novelty 7.0

    Seiberg-Witten instanton expansions combined with exact WKB period integrals allow analytic computation and continuation of quasinormal modes from large q to q=0.

  2. Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics

    hep-th 2026-07 conditional novelty 6.0

    Angular eigenvalues of the extreme charged C-metric are computed analytically via a confluent limit of SU(2)×SU(2) quiver gauge theory, matching numerical results.

  3. Exact WKB and Quantum Periods for Extremal Black Hole Quasinormal Modes

    hep-th 2026-05 unverdicted novelty 6.0

    Exact WKB with high-order quantum period computations and Borel-Padé resummation reproduces quasinormal mode frequencies for extremal Reissner-Nordström and Kerr black holes.

  4. Bouncing singularities and thermal correlators on line defects

    hep-th 2026-03 unverdicted novelty 6.0

    Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.