Explizite Darstellungsformeln GREENscher Funktionen von kovarianten Wellengleichungen im schwachen Gravitationsfeld I. Skalare D'ALEMBERT-Gleichung


  • Dr. R. W. John

    1. Potsdam-Babelsberg, Zentralinstitut für Astrophysik der Akademie der, Wissenschaften der, DDR-1502 Potsdam-Babelsberg, Rosa-Luxemburg-Str. 17a
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The scalar wave equation in an external gravitational field is considered. In the weakfield approximation, the time-symmetric GREEN's function is built up via the invariant defining equation to first order in the perturbation parameter. The coefficients of the distributions are represented by four-dimensional FOURIER integrals containing the FOURIER transform of the first-order gravitational potential and KUMMER's functions.