Symmetry operators and separation of variables for spin-wave equations in oblate spheroidal coordinates
- 1 July 1990
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 31 (7) , 1739-1744
- https://doi.org/10.1063/1.528670
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 tensorKeywords
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