Radial conformal Killing vectors in spherically symmetric shear-free space-times
type: Item
instance of: scholarly article
title: Radial conformal Killing vectors in spherically symmetric shear-free space-times
zbMATH Open document ID: 0682.53082
DOI: 10.1007/BF00763315
author: Roberto A. Sussman
published in: General Relativity and Gravitation
publication date: 1989-01-01T00:00:00Z
review text: The conformal Killing equations are reduced to a system of 2 coupled differential equations whose coefficients depend on only one combination of the metric variables. 3 solutions (i.e. conformal Killing vectors) exist for subclasses of conformally flat space-times (including Friedman- Robert-Walker metrics), 1 for a class of selfsimilar metrics. In the general case, at most one conformal Killing vector is possible, but this case could not be integrated.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C55
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 4117428
zbMATH Keywords: conformal motions
zbMATH Keywords: conformal Killing equations
zbMATH Keywords: flat space-times
zbMATH Keywords: selfsimilar metrics
MaRDI profile type: Publication
cites work: Q3896182
cites work: Exact solutions for shear-free motion of spherically symmetric perfect fluid distributions in general relativity
cites work: On spherically symmetric shear-free perfect fluid configurations (neutral and charged). I
cites work: On spherically symmetric shear-free perfect fluid configurations (neutral and charged). II. Equation of state and singularities
cites work: On spherically symmetric shear-free perfect fluid configurations (neutral and charged). III. Global view
cites work: A class of spherically symmetric solutions with conformal Killing vectors
cites work: A new interior solution of Einstein's field equations for a spherically symmetric perfect fluid in shear-free motion
cites work: Conformal Killing vectors in Robertson-Walker spacetimes
cites work: Cosmological solution of Einstein's equations with uniform density and nonuniform pressure
description: scientific article; zbMATH DE number 4117428