The mathematical study of symmetry in general relativity
type: Item
instance of: scholarly article
title: The mathematical study of symmetry in general relativity
zbMATH Open document ID: 0964.83008
published in: Gravitation \& Cosmology
publication date: 2000-08-10T00:00:00Z
review text: The concept of symmetry in general relativity (GR) is discussed from a mathematical point of view (predominantly geometrical). The topics covered are: projective symmetry (including affine, homothetic and Killing symmetries), conformal symmetry and symmetries of the Ricci, energy-momentum and curvature tensors. The sectional curvature in GR is also studied in detail. The main emphasis is put on the more general theorems available in differential geometry rather than on specific examples. The possibility of extension of the group action to a global (Lie) group on a 4-dimensional spacetime manifold is also analyzed. It is suggested that these results can be used in GR to extend locally observed cosmological symmetries to global symmetries.
reviewed by: Gheorghe Zet
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 53Z05
zbMATH DE Number: 1486802
zbMATH Keywords: projective symmetry
zbMATH Keywords: conformal symmetry
zbMATH Keywords: energy-mentum tensor
zbMATH Keywords: curvature tensor
zbMATH Keywords: global Lie group
author: G. S. Hall
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1486802