Mass and energy in general relativity
type: Item
instance of: scholarly article
title: Mass and energy in general relativity
zbMATH Open document ID: 0845.53065
DOI: 10.1007/BF02113065
published in: General Relativity and Gravitation
publication date: 1995-09-20T00:00:00Z
review text: In this short note, the authors revisit the problem of how to assign a total mass to an asymptotically flat spacetime. To that end they refer to the standard definition of total mass in terms of asymptotically flat coordinates in which the spatial components of the metric take the form \[ g_{\mu\nu}= \delta_{\mu\nu}+ O(r^{- k}).\tag{\(*\)} \] They point out that for uniqueness of the total mass it is necessary to restrict to representations \((*)\) with \(k= 1\). Purely spatial coordinate transformations that lead to a representation \((*)\) with \(k\neq 1\) would lead to a different value for the total mass.
reviewed by: Volker Perlick
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 83C40
Mathematics Subject Classification ID: 83C30
zbMATH DE Number: 798684
zbMATH Keywords: total mass
zbMATH Keywords: asymptotically flat spacetime
author: Yuri Bozhkov
author: Waldyr A. jun. Rodrigues
MaRDI profile type: Publication
cites work: General Relativity
cites work: General Relativity for Mathematicians
cites work: Q3994701
cites work: The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning
cites work: On the proof of the positive mass conjecture in general relativity
cites work: Proof of the positive mass theorem. II
cites work: On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth
cites work: The mass of an asymptotically flat manifold
cites work: Counter-examples to the generalized positive action conjecture
cites work: Energy and momentum in general relativity
cites work: Conservation of vector-valued forms and the question of the existence of gravitational energy-momentum in general relativity
cites work: Conservation laws in general relativity
full work available at URL: https://doi.org/10.1007/bf02113065
OpenAlex ID: W2005181965
description: scientific article; zbMATH DE number 798684