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Explizite Darstellungsformeln G REEN scher Funktionen von kovarianten Wellengleichungen im schwachen Gravitationsfeld. I. Skalare D'A LEMBERT ‐Gleichung
Author(s) -
John R. W.
Publication year - 1973
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.19730290104
Subject(s) - physics , fourier transform , mathematical physics , scalar (mathematics) , perturbation (astronomy) , fourier analysis , mathematical analysis , quantum mechanics , mathematics , geometry
The scalar wave equation in an external gravitational field is considered. In the weakfield approximation, the time‐symmetric G REEN '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 K UMMER 's functions.