New approach to Einstein-Petrov type I spaces. II: A classification scheme
type: Item
instance of: scholarly article
title: New approach to Einstein-Petrov type I spaces. II: A classification scheme
zbMATH Open document ID: 0608.53020
DOI: 10.1007/BF00670767
published in: International Journal of Theoretical Physics
publication date: 1986-01-01T00:00:00Z
review text: [Part I, cf. ibid. 18, 251-270 (1979; Zbl 0423.53020).] A classification scheme is presented which enables one to have an overall look at Einstein-Petrov type I spaces and in particular to pick out those spaces whose Petrov scalars are functionally independent. It is shown that some subclasses defined by quite severe simplifying assumptions (which lead to considerable simplification of the field equations) still retain functionally independent Petrov scalars. For these subclasses three coupled differential equations (two of which are wave equations) are calculated for the Petrov scalars.
Mathematics Subject Classification ID: 53B30
Mathematics Subject Classification ID: 83C20
Mathematics Subject Classification ID: 53B50
zbMATH DE Number: 3984037
zbMATH Keywords: Einstein-Petrov type I spaces
zbMATH Keywords: Petrov scalars
zbMATH Keywords: functionally independent
author: S. Brian Edgar
MaRDI profile type: Publication
cites work: Complete integrability conditions of the Einstein–Petrov equations, type I
cites work: A new approach to Einstein-Petrov type I spaces
cites work: An Approach to Gravitational Radiation by a Method of Spin Coefficients
cites work: A spinor approach to general relativity
description: scientific article; zbMATH DE number 3984037