Exact solutions to sourceless charged massive scalar field equation on Kerr–Newman background

DOI10.1063/1.532985zbMath0964.81026arXivgr-qc/9904037OpenAlexW3098976959MaRDI QIDQ4270443

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Publication date: 21 November 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9904037

zbMATH Keywords

radial partblack hole geometrycovariant Klein-Gordon equationangular partgeneralized spin-weighted spheroidal wave equationgeneralized Whittaker-Hill equationsolutions in integral forms

Mathematics Subject Classification ID

Black holes (83C57) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Quantum field theory on curved space or space-time backgrounds (81T20) General relativity (83C99) Covariant wave equations in quantum theory, relativistic quantum mechanics (81R20) Other special functions (33E99)

Related Items (4)

Exact solutions of the Klein-Gordon equation in the Kerr-Newman background and Hawking radiation ⋮ Massive complex scalar field in the Kerr–Sen geometry: Exact solution of wave equation and Hawking radiation ⋮ CHARACTERISTICS OF QUANTUM RADIATION OF SLOWLY VARYING NONSTATIONARY KERR–NEWMAN BLACK HOLES ⋮ Quantum radiation properties of Dirac particles in general nonstationary black holes

Cites Work

• Solutions to a spheroidal wave equation
• Painless nonorthogonal expansions
• Solutions to wave equations on black hole geometries. II
• Spin-weighted angular spheroidal functions
• Spin-s Spherical Harmonics and ð
• Global Structure of the Kerr Family of Gravitational Fields

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