Skip to content
DraconiticResearch
Search Sources API
186,123 studies31 sourcesUpdated 44 min ago
PreprintCC BY 4.0arXiv

Zero-damped modes of near-extremal Reissner--Nordström black holes from exact WKB

  • Prisco Lo Chiatto
  • Sebastian Schenk
  • Nils Wagner
  • Felix Yu
Open at sourcePDFDOICite

Abstract

The late-time ringdown dynamics of near-extremal black holes (BHs) are expected to be dominated by zero-damped modes (ZDMs), whose decay rates are parametrically suppressed relative to those of ordinary quasinormal modes. In this paper, we demonstrate that exact WKB methods provide an exceptionally powerful framework for analyzing the ZDM spectrum of near-extremal Reissner--Nordström (RN) BHs. Focusing on massless, neutral scalar modes propagating on an RN background, we present the full Stokes geometry derived from the radial eigenvalue problem and establish the corresponding exact quantization condition (EQC). Our analytic computation of the Voros symbols entering the EQC achieves higher-order accuracy for the ZDM spectrum compared to previous studies and is systematically improvable. Ergo, this work serves as a proof of concept for investigations of ZDM spectra of other systems using exact WKB methods.

Related

  1. Stochastic motion of massless particles near event horizons in Schwarzschild and Reissner-Nordström spacetimes
    Yinhan Huang, Lezhen Miao, Xiao Zhang
    arXivPreprintarXiv licenceFull textProbabilityGravitation & general relativityarXiv
  2. Characteristic gluing to extremal Kerr horizons and the third law of black hole thermodynamics in vacuum
    Stefan Czimek
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsGeometry & topologyarXiv
  3. Asymptotic expansion of cavity Quasi-Normal Modes in Schwarzschild de-Sitter black hole
    Arnab Priya Saha, Prajwal Shivanna
    arXivPreprintCC BY 4.0Full textMathematical physicsGravitation & general relativityarXiv
  4. Extremal black hole mimickers: geometry, stability, and long-delay signal trains
    Sergey N Solodukhin
    HALPreprintarXiv licenceFull textMathematical physicsGravitation & general relativityHALarXiv
  5. Complete total-transmission modes of Kerr black holes
    Changkai Chen, Xiaohua Zhang, Zhoujian Cao +2
    arXivPreprintCC BY 4.0Full textMathematical physicsGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{chiatto2026zerodamped,
  title = {{Zero-damped modes of near-extremal Reissner--Nordström black holes from exact WKB}},
  author = {Prisco Lo Chiatto and Sebastian Schenk and Nils Wagner and Felix Yu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02816},
  eprint = {2609.02816},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02816},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Zero-damped modes of near-extremal Reissner--Nordström black holes from exact WKB
AU  - Prisco Lo Chiatto
AU  - Sebastian Schenk
AU  - Nils Wagner
AU  - Felix Yu
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02816
UR  - https://arxiv.org/abs/2609.02816
AB  - The late-time ringdown dynamics of near-extremal black holes (BHs) are expected to be dominated by zero-damped modes (ZDMs), whose decay rates are parametrically suppressed relative to those of ordinary quasinormal modes. In this paper, we demonstrate that exact WKB methods provide an exceptionally powerful framework for analyzing the ZDM spectrum of near-extremal Reissner--Nordström (RN) BHs. Focusing on massless, neutral scalar modes propagating on an RN background, we present the full Stokes geometry derived from the radial eigenvalue problem and establish the corresponding exact quantization condition (EQC). Our analytic computation of the Voros symbols entering the EQC achieves higher-order accuracy for the ZDM spectrum compared to previous studies and is systematically improvable. Ergo, this work serves as a proof of concept for investigations of ZDM spectra of other systems using exact WKB methods.
ER  -