Killing-Yano tensors and variable separation in Kerr geometry

E. G. Kalnins; W. Miller; G. C. Williams

doi:10.1063/1.528565

Killing-Yano tensors and variable separation in Kerr geometry

E. G. Kalnins, W. Miller, G. C. Williams

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20 Scopus citations

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.

Original language	English (US)
Pages (from-to)	2360-2365
Number of pages	6
Journal	Journal of Mathematical Physics
Volume	30
Issue number	10
DOIs	https://doi.org/10.1063/1.528565
State	Published - 1989
Externally published	Yes

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AB - 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.

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Killing-Yano tensors and variable separation in Kerr geometry

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