New Chandrasekhar transformation in Kerr spacetime

Abstract

We construct a new type of Chandrasekhar transformation in Kerr spacetime using the different tortoise coordinate, which is useful for exact analysis to study Teukolsky equation with arbitrary frequency. We also give the interpretation of our transformation using the formalism of the quantum Seiberg-Witten geometry.

arXiv comment14 pages, accepted for publication in PRD

References in corpus (19)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Black Hole Perturbation
• Perturbations of Kerr-de Sitter Black Hole and Heun's Equations
• Exact solution of Kerr black hole perturbations via CFT${}_2$ and instanton counting. Greybody factor, Quasinormal modes and Love numbers
• QNMs of branes, BHs and fuzzballs from Quantum SW geometries
• The Darboux transformation in black hole perturbation theory
• Mode stability on the real axis
• Black hole evaporation in de Sitter space
• Teukolsky master equation and Painlevé transcendents: numerics and extremal limit
• Exact solution for wave scattering from black holes: Formulation
• Semi-analytic expressions for quasinormal modes of slowly rotating Kerr black holes
• Symmetry Breaking in Quantum Curves and Super Chern-Simons Matrix Models
• An alternative to the Teukolsky equation
• A look at the generalized Darboux transformations for the quasinormal spectra in Schwarzschild black hole perturbation theory: just how general should it be?
• Quantum Representation of Affine Weyl Groups and Associated Quantum Curves

Cited by in corpus (6)

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• Black hole perturbation theory and multiple polylogarithms
• Quasinormal Modes of C-metric from SCFTs
• The static charged black holes with Weyl corrections
• Notes on Quasinormal Modes of charged de Sitter Blackholes from Quiver Gauge Theories
• Connection formulae in the Collision Limit I: Case Studies in Lifshitz Geometry