Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates
Kalnins, E.G. & Williams, G.C. (1990). Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates. Journal of Mathematical Physics, 31, 1739.
Permanent Research Commons link: https://hdl.handle.net/10289/1213
A family of second-order differential operators that characterize the solution of the massless spin s field equations, obtained via separation of variables in oblate spheroidal coordinates and using a null tetrad is found. The first two members of the family also characterize the separable solutions in the Kerr space-time. It is also shown that these operators are symmetry operators of the field equations in empty space-times whenever the space-time admits a second-order Killing–Yano tensor.
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