Spherically symmetric space-times transparent to scalar multipole waves
type: Item
instance of: scholarly article
title: Spherically symmetric space-times transparent to scalar multipole waves
zbMATH Open document ID: 0586.53038
DOI: 10.1007/BF00768639
author: W. E. Couch
author: R. J. Torrence
published in: General Relativity and Gravitation
publication date: 1986-01-01T00:00:00Z
review text: Using nonscattering potentials of Chang and Janis, a large class of spherically symmetric space-times is constructed on which all multipole solutions to the minimally coupled scalar wave equation are expressible in terms of characteristic data functions in essentially as simple a fashion as for flat space-time. The space-times are transparent to multipole waves in the same sense that flat space-time is. Both conformally flat and not conformally flat space-times are obtained. Some examples are discussed which show that the variety of transparent space- times is large even within the class of Robertson-Walker spaces.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C35
zbMATH DE Number: 3940179
zbMATH Keywords: spherically symmetric space-times
zbMATH Keywords: multipole solutions
zbMATH Keywords: multipole waves
zbMATH Keywords: transparent space-times
zbMATH Keywords: Robertson-Walker spaces
MaRDI profile type: Publication
cites work: Hyperbolic Differential Equations in Two Dimensions
cites work: Spherically symmetric space–times with vanishing curvature scalar
cites work: Einstein Tensor and Spherical Symmetry
Wikidata QID: Q126169718
description: scientific article; zbMATH DE number 3940179