On existence and behaviour of asymptotically flat solutions to the stationary Einstein equations
type: Item
instance of: scholarly article
title: On existence and behaviour of asymptotically flat solutions to the stationary Einstein equations
zbMATH Open document ID: 0667.53056
DOI: 10.1007/BF01256497
published in: Communications in Mathematical Physics
publication date: 1989-01-01T00:00:00Z
review text: Verf. beweist die Existenz und Eindeutigkeit asymptotisch flacher Lösungen der stationären Einsteinschen Gleichungen für \(R^ 3\)- B\({}_ r\), wobei \(B_ r\) eine Kugel vom Radius r ist. Als Randwertbedingung dient irgendeine stetige, genügend ``kleine'' Funktion, die auf der Oberfläche von \(B_ r\) gegeben ist. Die Lösung ist analytisch im Innern von \(R^ 3-B_ r\) (ebenso by \(\infty)\). In einem Appendix gibt der Verf. auch einige Definitionen und Sätze, die anders in der Literatur schwer zu finden sind.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 4092303
zbMATH Keywords: stationary Einstein equations
zbMATH Keywords: asymptotically flat solution
author: O. Reula
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 4092303