Exact solution for wave scattering from black holes: Formulation
Hayato Motohashi, Sousuke Noda
Abstract
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.
Topics & Concepts
PhysicsExact solutions in general relativityMassless particleSimple (philosophy)ScatteringQuantum electrodynamicsCharge (physics)Field (mathematics)Mathematical physicsClassical mechanicsQuantum mechanicsSpin (aerodynamics)Black hole (networking)Scattering theoryWave equationTheoretical physicsExact differential equationWave functionDe Sitter universeBlack Holes and Theoretical PhysicsAstrophysical Phenomena and ObservationsPulsars and Gravitational Waves Research