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Analytic properties of the Teukolsky equation

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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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References

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Authors and Affiliations

  1. Department of Physics, University of California, Santa Barbara, California, USA

    J. B. Hartle & D. C. Wilkins

Authors
  1. J. B. Hartle
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  2. D. C. Wilkins
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Communicated by J. Ehlers

Supported in part by the National Science Foundation.

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Hartle, J.B., Wilkins, D.C. Analytic properties of the Teukolsky equation. Commun.Math. Phys. 38, 47–63 (1974). https://doi.org/10.1007/BF01651548

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  • DOI: https://doi.org/10.1007/BF01651548

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