Killing–Yano tensors and variable separation in Kerr geometry
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Copyright 1989 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 complete analysis of the free-field massless spin-s equations (s=0, (1)/(2) ,1) in Kerr geometry is given. It is shown that in each case the separation constants occurring in the solutions obtained from a potential function can be characterized in an invariant way. This invariant characterization is given in terms of the Killing–Yano tensor admitted by Kerr geometry.
Citation
Kalnins, E.G., Miller, W., Jr. & Williams, G.C. (1989). Killing–Yano tensors and variable separation in Kerr geometry. Journal of Mathematical Physics, 30, 2360.