Explizite Darstellungsformeln GREENscher Funktionen von kovarianten Wellengleichungen im schwachen Gravitationsfeld II. Linearisierte EINSTEINsche Gravitationsgleichungen

✍ Scribed by Dr. R. W. John

• Publisher: John Wiley and Sons
• Year: 1973
• Tongue: English
• Weight: 393 KB
• Volume: 484
• Category: Article
• ISSN: 0003-3804
• DOI: 10.1002/andp.19734840105

✦ Synopsis

Abstract

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.