On solving Einstein's field equations in the Newman-Penrose formalism
type: Item
instance of: scholarly article
title: On solving Einstein's field equations in the Newman-Penrose formalism
zbMATH Open document ID: 0564.53034
DOI: 10.1007/BF00773680
author: Garry Ludwig
published in: General Relativity and Gravitation
publication date: 1985-01-01T00:00:00Z
review text: Using the Newman-Penrose formalism and Penrose's conformal rescaling a method is presented for finding systematically solutions (or, at least, reduced equations for) the general field equations. These solutions are necessarily (locally) asymptotically flat and are represented in a coordinate system based on a geodesic, twist-free, expanding null congruence. All redundant equations are disposed of and the freely specifiable data are clearly exhibited. Although the few equations that remain to be solved are, in general, intractable, well-known theorems guarantee the existence and uniqueness of solutions. The method applies to \({\mathcal H}\) spaces and \({\mathcal H}{\mathcal H}\) spaces as well as to real space-times.
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 35Q75
zbMATH DE Number: 3899702
zbMATH Keywords: Newman-Penrose formalism
zbMATH Keywords: field equations
zbMATH Keywords: asymptotically flat
zbMATH Keywords: null congruence
zbMATH Keywords: \({\mathcal H}\) spaces
MaRDI profile type: Publication
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Wikidata QID: Q125891426
description: scientific article; zbMATH DE number 3899702