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Calculating Debye potentials from data on ℐ or ℋ

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Abstract

Using the formalism of Cohen and Kegeles equations are obtained for arbitrary spin radiation field Debye potentials in Reissner-Nordström geometries, and a formal series solution is presented. For the case of integer spin the series is modified to what appears to be a more natural form. In the particular case of vanishing spin it is shown that in some important cases the modified series converges to a solution of the Debye potential equation, which is the scalar wave equation, and is simply related to characteristic initial data given on either H orI.

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  1. Department of Mathematics and Statistics, University of Calgary, Calgary, Canada

    R. J. Torrence

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  1. R. J. Torrence
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Torrence, R.J. Calculating Debye potentials from data on ℐ or ℋ. Gen Relat Gravit 14, 1061–1084 (1982). https://doi.org/10.1007/BF00756288

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  • DOI: https://doi.org/10.1007/BF00756288

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