Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates
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Copyright 1990 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in the Journal of Mathematical Physics and may be found at http://jmp.aip.org/jmp/top.jsp
Abstract
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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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.