Solutions to wave equations on black hole geometries. II

DOI10.1063/1.526811zbMath0609.70002OpenAlexW2062887359MaRDI QIDQ3750162

W. E. Couch

Publication date: 1985

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526811

zbMATH Keywords

horizonwave equationsconstraintsscalar wave equationnull infinitymassive scalar fieldclasses of solutionsWhittaker-Hill equationblack hole spacetime backgroundblack-hole-geometriesKerr-Newton geometrymassless spin-one-half field

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) General relativity (83C99) Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics (70H40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Exact solutions to problems in general relativity and gravitational theory (83C15) Axiomatics, foundations (70A05)

Related Items (5)

Exact solutions to sourceless charged massive scalar field equation on Kerr–Newman background ⋮ Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation ⋮ On the Liouvillian solutions to the perturbation equations of the Schwarzschild black hole ⋮ The decoupling problem of the Proca equation; and treatment of Dirac, Maxwell and Proca fields on the resulting pp-wave spacetimes ⋮ Liouvillian perturbations of black holes

Cites Work

• Solutions to wave equations on black hole geometries

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