Journal ArticleDOI
Linkages in general relativity
Robert Geroch,Jeffrey Winicour +1 more
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In this article, the ambiguities due to the possible presence of supertranslations in asymptotic rotations are studied using the behavior of the linkages under first-order perturbations in the metric.Abstract:
For an asymptotically flat space–time in general relativity there exist certain integrals, called linkages, over cross sections of null infinity, which represent the energy, momentum, or angular momentum of the system. A new formulation of the linkages is introduced and applied. It is shown that there exists a flux, representing the contribution of gravitational and matter radiation to the linkage. A uniqueness conjecture for the linkages is formulated. The ambiguities due to the possible presence of supertranslations in asymptotic rotations are studied using the behavior of the linkages under first‐order perturbations in the metric. While in certain situations these ambiguities disappear in the first‐order treatment, an example is given which suggests that they are an essential feature of general relativity and its asymptotic structure.read more
Citations
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Journal ArticleDOI
Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
TL;DR: The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed.
Journal ArticleDOI
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity.
TL;DR: The present status of the quasi-local mass, energy-Momentum and angular-momentum constructions in general relativity is reviewed.
Journal ArticleDOI
Conserved charges of the extended Bondi-Metzner-Sachs algebra
TL;DR: In this paper, it was shown that the corresponding charges are finite and well defined, and can be divided into electric parity ''super center-of-mass'' charges and magnetic parity ''superspin'' charges.
Book ChapterDOI
The covariant phase space of asymptotically flat gravitational fields
Abhay Ashtekar,Abhay Ashtekar,Abhay Ashtekar,Luca Bombelli,Luca Bombelli,Luca Bombelli,Oscar Reula,Oscar Reula,Oscar Reula +8 more
TL;DR: In this paper, the covariant phase space of asymptotically flat gravitational fields and covariant constructions for field theories are discussed and a new application is presented: the derivation of the expression of energy-momentum of an isolated gravitating system at null infinity.
Journal ArticleDOI
Numerical relativity: A Review
TL;DR: A review of the field of numerical relativity can be found in this article, where the authors describe the techniques most commonly used and discuss open problems and (some) future prospects for numerical simulations.
References
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Book
The Large Scale Structure of Space-Time
TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
Journal ArticleDOI
Asymptotic symmetries in gravitational theory
TL;DR: In this article, a generalized Bondi-Metzner group (GBM group) is proposed to re-derive the Lorentz group as an "asymptotic symmetry group" which leaves invariant the form of the boundary conditions appropriate for asymptotically flat gravitational fields.
Journal ArticleDOI
Zero rest-mass fields including gravitation: asymptotic behaviour
TL;DR: In this article, the authors considered the problem of defining spin s fields in special relativity and showed that they exhibit the characteristic peeling-off behavior of Sachs, namely that to order r - k -1 (k = 0,..., 2 s ), 2 s - k of them coincide radially, r being a linear parameter in any advanced or retarded radial direction.
Journal ArticleDOI
Covariant conservation laws in general relativity
TL;DR: In this paper, a set of covariant conservation laws is constructed in the general theory of relativity, and their relationship to the generators of infinitesimal coordinate transformations is indicated.
Journal ArticleDOI
Note on the Bondi-Metzner-Sachs Group
Ezra T. Newman,Roger Penrose +1 more
TL;DR: In this paper, it was shown that, in space-times which are asymptotically flat, there are reasonable physical restrictionsthat allow one to impose coordinate conditions (in addition to the usual Bondi-type conditions) which restrict the allowed coordinate group to a subgroup of the Bondi Metzner-Sachsgroup.