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

arXiv:2609.17471 · gr-qc, astro-ph.HE, hep-th · Submitted 2026-09-15 · Read on arXiv

gr-qc, astro-ph.HE, hep-th

Submitted: 2026-09-15

Updated: 2026-09-15

Comments: 45 pages, 1 figure

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Quantization — 22× in this paper · explained in 12 episodes
• Decoupling — 1× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes

Sources

• Black hole spectroscopy: from theory to experiment
• Quasinormal modes of Kerr-de Sitter black holes via the Heun function
• Exact solution for wave scattering from black holes: Formulation
• Exact solution of Kerr black hole perturbations via CFT$_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• Irregular Liouville correlators and connection formulae for Heun functions
• Black Hole Quasinormal Modes and Seiberg-Witten Theory
• Holographic thermal correlators and quasinormal modes from semiclassical Virasoro blocks
• One loop effective actions in Kerr-(A)dS Black Holes
• One loop corrections to the thermodynamics of near-extremal Kerr-(A)dS black holes from Heun equation
• Price's law from quasinormal modes
• Branching of quasinormal modes for nearly extremal Kerr black holes
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• Damped and zero-damped quasinormal modes of charged, nearly extremal black holes
• Strong Cosmic Censorship in Kerr-Newman-de Sitter
• Analytic formula for quasinormal modes in the near-extreme Kerr-Newman-de Sitter spacetime governed by a non-P\"oschl-Teller potential
• Beyond quasinormal modes: a complete mode decomposition of black hole perturbations
• Decoupling Limit of Quiver Theories and the Angular Spectra of Extreme C-metrics
• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry

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