Quasinormal modes of Kerr–de Sitter black holes via the Heun function

DOI10.1088/1361-6382/abc82ezbMath1479.83144arXiv2006.08957OpenAlexW3034220643MaRDI QIDQ5162490

Yasuyuki Hatsuda

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.08957

zbMATH Keywords

spectral problemsHeun's differential equationsKerr-de Sitter black holesquasinomal modes of black holes

Mathematics Subject Classification ID

Black holes (83C57) Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Exact solutions to problems in general relativity and gravitational theory (83C15) Motion of the gyroscope (70E05)

Related Items (8)

Elementary integral series for Heun functions: Application to black-hole perturbation theory ⋮ Wormholes without exotic matter: quasinormal modes, echoes and shadows ⋮ Hidden spectral symmetries and mode stability of subextremal Kerr(-de Sitter) black holes ⋮ Quasinormal modes for a Kerr-De Sitter black hole in the eikonal limit and a generalization to Myers-Perry-De Sitter black holes with a single rotation ⋮ Quasinormal modes and grey-body factors of regular black holes with a scalar hair from the Effective Field Theory ⋮ Radiation fluxes of gravitational, electromagnetic, and scalar perturbations in type-D black holes: an exact approach ⋮ Black hole perturbation theory and multiple polylogarithms ⋮ Black hole evaporation in de Sitter space

Uses Software

• Mathematica
• DLMF
• QNMspectral
• HeunG
• HeunGPrime
• Ringdown

Cites Work

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• Heun functions and some of their applications in physics
• Quantum field theory applications of Heun type functions
• Generalized hypergeometric solutions of the Heun equation
• Kerr-De Sitter quasinormal modes via accessory parameter expansion
• A Connection Problem for a Regular and an Irregular Singular Point of Complex Ordinary Differential Equations
• The 192 solutions of the Heun equation
• Classes of exact solutions to the Teukolsky master equation
• Second Order Differential Equations
• Quasi-normal modes of Schwarzschild–de Sitter black holes
• Gravitational quasinormal modes for Kerr anti-de Sitter black holes
• Exact solutions of Regge–Wheeler equation and quasi-normal modes of compact objects
• The Klein–Gordon–Fock equation in the curved spacetime of the Kerr–Newman (anti) de Sitter black hole
• The Klein–Gordon equation in the spacetime of a charged and rotating black hole

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