Examples of Heun and Mathieu functions as solutions of wave equations in curved spaces

DOI10.1088/1751-8113/40/5/016zbMath1108.35102arXivgr-qc/0607108OpenAlexW1993028911MaRDI QIDQ3425264

M. Hortacsu, Tolga Birkandan

Publication date: 7 March 2007

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0607108

zbMATH Keywords

Dirac equationfour spacetime dimensionsNutku helicoid metric

Mathematics Subject Classification ID

Wave equation (35L05) Exact solutions to problems in general relativity and gravitational theory (83C15) Solutions to PDEs in closed form (35C05) Lamé, Mathieu, and spheroidal wave functions (33E10)

Related Items (10)

Heun functions and some of their applications in physics ⋮ The analytic solution for the power series expansion of Heun function ⋮ Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field ⋮ Symbolic and numerical analysis in general relativity with open source computer algebra systems ⋮ Dirac equation in the background of the Nutku helicoid metric ⋮ Integrals of motion in time-periodic Hamiltonian systems: the case of the Mathieu equation ⋮ A NEWMAN–PENROSE CALCULATOR FOR INSTANTON METRICS ⋮ Mathieu and Heun solutions to the Wheeler-De Witt equation for hyperbolic universes ⋮ Solution of the Dirac equation in the rotating Bertotti–Robinson spacetime ⋮ Comment on “Dirac equation in the background of the Nutku helicoid metric” [J. Math. Phys. 48, 092301 (2007)]

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