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Explizite Darstellungsformeln GREENscher Funktionen von kovarianten Wellengleichungen im schwachen Gravitationsfeld II. Linearisierte EINSTEINsche Gravitationsgleichungen
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.19734840105
Subject(s) - physics , mathematical physics , perturbation (astronomy) , curvature , gravitational field , einstein , riemann curvature tensor , einstein field equations , schwarzschild metric , einstein tensor , gauge (firearms) , classical mechanics , general relativity , quantum mechanics , mathematics , geometry , archaeology , history
The propagation equations for small perturbations of a background gravitational field satisfying the EINSTEIN equations are considered. For the perturbation potential the covariantly generalized EINSTEIN‐HILBERT gauge is chosen. With the aid of the method used in [10], bitensor GREEN's functions for the propagation equations in a weak vacuum field are given explicitly. The tail term is obtained to be an integral of the first‐order RIEMANN curvature tensor. As an application of the formulae, GREEN's functions for perturbations of the SCHWARZSCHILD metric are calculated to first order in the mass parameter.