Explizite Darstellungsformeln G REEN scher Funktionen von kovarianten Wellengleichungen im schwachen Gravitationsfeld. II. Linearisierte E INSTEIN sche Gravitationsgleichungen | Zendy

John R. W. | Zendy

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Explizite Darstellungsformeln G REEN scher Funktionen von kovarianten Wellengleichungen im schwachen Gravitationsfeld. II. Linearisierte E INSTEIN sche 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.19730290105

Subject(s) - physics , mathematical physics , curvature , perturbation (astronomy) , gravitational field , schwarzschild metric , einstein field equations , einstein equations , einstein , riemann curvature tensor , einstein tensor , gauge (firearms) , field equation , general relativity , classical mechanics , quantum mechanics , mathematics , geometry , archaeology , history

The propagation equations for small perturbations of a background gravitational field satisfying the E INSTEIN equations are considered. For the perturbation potential the covariantly generalized E INSTEIN ‐H ILBERT gauge is chosen. With the aid of the method used in [10], bitensor G REEN '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 R IEMANN curvature tensor. As an application of the formulae, G REEN 's functions for perturbations of the S CHWARZSCHILD metric are calculated to first order in the mass parameter.

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