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Analytic properties of the Teukolsky equation

by: J. B. Hartle, D. C. Wilkins
In Communications in Mathematical Physics, Vol. 38, No. 1. (1974), pp. 47-63, doi:10.1007/bf01651548  Key: citeulike:12059124

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Abstract

The analytic properties of the solutions to the Teukolsky equation in the complex frequency plane are investigated. The scattering coefficientZ in is found to be an analytic function of the frequency except at singularities and at certain branch points in both the upper and lower frequency plane. The implications for the proof of the stability of the Kerr geometry given by Press and Teukolsky are discussed.


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