Skip to content
DraconiticResearch
Search Sources API
194,161 studies31 sourcesUpdated 35 min ago
PreprintCC BY 4.0arXiv

Scalar quasinormal modes of Kerr--AdSbf 7 via accessory parameter expansions

  • Julián Barragán Amado
Open at sourcePDFDOICite

Abstract

We study scalar perturbations of a seven-dimensional Kerr--AdS black hole with three independent rotation parameters. In this geometry, the Klein--Gordon equation separates into one radial and two angular second-order linear ordinary differential equations, each with five regular singular points. We apply the Hill determinant method to compute analytic expansions of the accessory parameters in two different parameter regimes. The resulting accessory parameter expansions coincide with those obtained from the instanton part of the Nekrasov--Shatashvili function of four-dimensional 𝒩=2 quiver gauge theories. These expansions are then used to derive perturbative expressions for the angular eigenvalues in the slowly rotating limit and for the quasinormal mode frequencies in the small black hole limit.

Related

  1. Quasinormal modes of massive scalar perturbations in slow-rotation bumblebee black holes with traceless conformal electrodynamics
    Yassine Sekhmani, Wentao Liu, Weike Deng +1
    Physics of the Dark UniversePeer-reviewedLicence not stated7 citedHigh-energy & particle physicsOpenAlex
  2. Quasinormal modes of rotating black holes with ultralight scalar fields
    Leif Lui, Adrian Ka-Wai Chung
    arXivPreprintCC BY 4.0Full textHigh-energy astrophysicsGravitation & general relativityarXiv
  3. Traversable Wormholes Supported by Conformally Coupled Scalar Fields in D ≥ 4: Geometry, Geodesics, and Quasinormal Modes
    Pablo Vidal
    arXivPreprintarXiv licenceFull textGravitation & general relativityarXiv
  4. Parameter Estimation of Ringdown Quasinormal Modes with Autoencoder
    Momoka Iida, Hayato Motohashi, Hirotaka Takahashi
    arXivPreprintCC BY 4.0Full textHigh-energy astrophysicsInstrumentation & methodsarXiv
  5. Spectral instability of charged scalar quasinormal modes and superradiance: Stabilizing the unstable
    Kyriakos Destounis
    arXivPreprintCC BY 4.0Full textHigh-energy astrophysicsGravitation & general relativityarXiv

Cite

BibTeXRIS
BibTeX
@misc{amado2026scalar,
  title = {{Scalar quasinormal modes of Kerr--AdS$_\bf 7$ via accessory parameter expansions}},
  author = {Julián Barragán Amado},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.03037},
  eprint = {2609.03037},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.03037},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Scalar quasinormal modes of Kerr--AdS_bf 7 via accessory parameter expansions
AU  - Julián Barragán Amado
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.03037
UR  - https://arxiv.org/abs/2609.03037
AB  - We study scalar perturbations of a seven-dimensional Kerr--AdS black hole with three independent rotation parameters. In this geometry, the Klein--Gordon equation separates into one radial and two angular second-order linear ordinary differential equations, each with five regular singular points. We apply the Hill determinant method to compute analytic expansions of the accessory parameters in two different parameter regimes. The resulting accessory parameter expansions coincide with those obtained from the instanton part of the Nekrasov--Shatashvili function of four-dimensional 𝒩=2 quiver gauge theories. These expansions are then used to derive perturbative expressions for the angular eigenvalues in the slowly rotating limit and for the quasinormal mode frequencies in the small black hole limit.
ER  -