Conservation of vector-valued forms and the question of the existence of gravitational energy-momentum in general relativity
type: Item
instance of: scholarly article
title: Conservation of vector-valued forms and the question of the existence of gravitational energy-momentum in general relativity
zbMATH Open document ID: 0723.53055
DOI: 10.1007/BF00756775
published in: General Relativity and Gravitation
publication date: 1991-01-01T00:00:00Z
review text: In a recent paper, K. Dalton has shown that in general relativity conserved vector valued currents have null covariant derivatives and has discussed the corollary that there is no gravitational energy momentum expression in general relativity. An equivalent statement was given already by E. Cartan in 1922. Given the potential implications of Dalton's corollary the authors reproduce in their paper Cartan's contribution to this problem in a more modern, very powerful and relatively simple language. For comparison also the gravitational sector of teleparallelism theories with torsion are investigated. The conservation laws of these theories are global. The authors conclude from this that ``several unaesthetic features of general relativity'' should be viewed as real problems and not as a necessary consequence of the geometrization of physics.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83C40
zbMATH DE Number: 4192591
zbMATH Keywords: conserved vector valued currents
zbMATH Keywords: energy momentum
zbMATH Keywords: teleparallelism theories
zbMATH Keywords: conservation laws
author: José G. Vargas
author: D. G. Torr
MaRDI profile type: Publication
cites work: Energy and momentum in general relativity
cites work: Nonexistence of multiple black holes in asymptotically Euclidean static vacuum space-time
cites work: Q3287741
cites work: Q3794829
full work available at URL: https://doi.org/10.1007/bf00756775
OpenAlex ID: W2002367082
description: scientific article; zbMATH DE number 4192591