Quasinormal modes of Kerr-Newman-de Sitter black holes from Heun connection formulae

@misc{furugori2026quasinormal,
  title = {{Quasinormal modes of Kerr-Newman-de Sitter black holes from Heun connection formulae}},
  author = {Hideo Furugori and Naotaka Kubo and Hayato Motohashi and Daisuke Yoshida},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17471},
  eprint = {2609.17471},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17471},
}

TY  - UNPB
TI  - Quasinormal modes of Kerr-Newman-de Sitter black holes from Heun connection formulae
AU  - Hideo Furugori
AU  - Naotaka Kubo
AU  - Hayato Motohashi
AU  - Daisuke Yoshida
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17471
UR  - https://arxiv.org/abs/2609.17471
AB  - We study quasinormal modes governed by the Teukolsky equation in Kerr-Newman-de Sitter spacetime, formally treating the spin weight and field charge as arbitrary parameters. We use exact Heun connection formulae expressed through classical conformal blocks. We analytically derive the quasinormal mode spectra in the small cosmological constant, near-extremal, and near-Nariai limits. In the small cosmological constant limit, we obtain the leading charged de Sitter spectrum together with its subleading corrections. In both the small cosmological constant and near-extremal limits, solving the full connection condition beyond the leading pole approximation gives rise to generically noninteger-power corrections to the quasinormal mode frequencies, whereas no analogous correction appears in the near-Nariai limit. We also analyze the angular eigenvalue problem as an illustration of the same connection-formula method.
ER  -