Black Hole Scattering from Monodromy

Abstract

We study scattering coefficients in black hole spacetimes using analytic properties of complexified wave equations. For a concrete example, we analyze the singularities of the Teukolsky equation and relate the corresponding monodromies to scattering data. These techniques, valid in full generality, provide insights into complex-analytic properties of greybody factors and quasinormal modes. This leads to new perturbative and numerical methods which are in good agreement with previous results.

28 pages + appendices, 2 figures. For Mathematica calculation of Stokes multipliers, download "StokesNotebook" from https://sites.google.com/site/justblackholes/techy-zone

References in corpus (3)

• Slow relaxation of rapidly rotating black holes
• Black Hole Monodromy and Conformal Field Theory
• Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime

Cited by in corpus (51)

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• Black Hole Monodromy and Conformal Field Theory
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• Kerr-de Sitter Quasinormal Modes via Accessory Parameter Expansion
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• Probing beyond ETH at large $c$
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• Spicing up the recipe for echoes from exotic compact objects: orbital differences and corrections in rotating backgrounds
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• Scalar/Dirac perturbations of the Reissner-Nordström black hole and Painlevé transcendents
• Black Hole Greybody Factors from Korteweg-de Vries Integrals: Theory
• Perturbations of Extremal Kerr Spacetime: Analytic Framework and Late-time Tails
• Fundamental Tone and Overtones of Quasinormal Modes in Ringdown Gravitational Waves: A Detailed Study in Black Hole Perturbation
• Blandford-Znajek jets in MOdified Gravity
• Massive scalar perturbations in Kerr Black Holes: near extremal analysis
• Black Hole Greybody Factors from Korteweg-de Vries Integrals: Computation
• Soft Black Hole Absorption Rates as Conservation Laws
• Quasinormal ringing on the brane
• On the universality of late-time correlators in semi-classical 2d CFTs
• Connecting scattering, monodromy, and MST's renormalized angular momentum for the Teukolsky equation in Kerr spacetime
• An Analysis of the Wave Equation for the $U(1{)}^2$ Gauged Supergravity Black Hole
• Wave Equation for the Wu Black Hole
• Complete quasinormal modes of Type-D black holes
• Emergent Black Hole Thermodynamics from Monodromy
• Classical Liouville Three-point Functions from Riemann-Hilbert Analysis
• Hidden Conformal Symmetries from Killing Towers with an Application to Large-D/CFT
• Solving Heun's equation using conformal blocks
• Addentum to: Conformal Invariance and Near-extreme Rotating AdS Black Holes
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• CFT Duals for Black Rings and Black Strings
• Future Boundaries and the Black Hole Information Paradox
• Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
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• The Spectrum of Static Subtracted Geometries
• Computer-assisted proofs for finding the monodromy of Picard-Fuchs differential equations for a family of K3 toric hypersurfaces
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• Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal