Exact solution for wave scattering from black holes: Formulation

Abstract

We establish an exact formulation for wave scattering of a massless field with spin and charge by a Kerr-Newman-de Sitter black hole. Our formulation is based on the exact solution of the Teukolsky equation in terms of the local Heun function, and does not require any approximation. It serves as simple exact formulae with arbitrary high precision, which realize fast calculation without restrictions on model parameters. We highlight several applications including quasinormal modes, cross section, reflection/absorption rate, and Green function.

22 pages, 6 figures; matches published version

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• New Chandrasekhar transformation in Kerr spacetime
• Complete quasinormal modes of Type-D black holes
• Evaporation of Echoing Black Holes
• Charged massless scalar fields in a charged $C$-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves
• The scalar angular Teukolsky equation and its solution for the Taub-NUT spacetime
• Hawking radiation by spherically-symmetric static black holes for all spins: II -- Numerical emission rates, analytical limits and new constraints