Symmetry classes of pp-waves
type: Item
instance of: scholarly article
title: Symmetry classes of pp-waves
zbMATH Open document ID: 0601.53083
DOI: 10.1007/BF00763448
author: R. Sippel
author: Hubert Goenner
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: The isometry groups admitted by plane-fronted gravitational waves with parallel rays are determined without use of any field equations. New groups with 5, 6, and 7 parameters arise which cannot occur for (nontrivial) exact solutions of Einstein's vacuuum field equations. For all 17 possible cases the functional form of the free function in the metric is given. We apply the classification to Einstein-Maxwell fields and also determine, in Riemann-Cartan geometry, the form of the torsion tensor by assuming the vanishing of its Lie derivative with respect to the generators of the isometry groups.
Mathematics Subject Classification ID: 53C80
Mathematics Subject Classification ID: 83C35
zbMATH DE Number: 3969622
zbMATH Keywords: isometry groups
zbMATH Keywords: gravitational waves
zbMATH Keywords: vacuuum field equations
zbMATH Keywords: Einstein- Maxwell fields
MaRDI profile type: Publication
cites work: RIEMANNsche Räume mit ebenfrontiger und mit ebener Symmetrie
cites work: Q3896182
description: scientific article; zbMATH DE number 3969622