Change Log

Major update published on 17 June 2009

Global description:

Recent developments of the field as well as some old classical results are included. Almost 120 new references are added, the text is improved and corrected at several points, and the bibliography is updated. The major changes are as follows:

Changes in detail:

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Update Four new paragraphs, devoted to the recent ideas how the angular momentum at null infinity should be defined, and several new references are added. A more detailed discussion of the flux integrals is given.
Update Two paragraphs on the embedding problem, both into the Euclidean three-space and the Minkowski spacetime, and two references are added.
Update Two new paragraphs on calculations of the small sphere limit in Riemann and Fermi normal coordinates and on approximate symmetries with eight new references are added.
Update A new paragraph on the Aronson–Newman coordinates and four references are added.
Update A new paragraph (with a new reference) is added about a suggestion of the identification of the two-surface twistor spaces on different cuts of scri and of the Pauli–Lubanski spin at null infinity.
Update Two new paragraphs devoted to a more detailed discussion of the Nester–Witten form and the Møller superpotential are added, and one reference is changed.
Update This new subsection on the generalizations of the Kijowski–Liu–Yau energy with three new references is added.
Update This new subsection on a new quasi-local energy-momentum expression is added.
Update Several new (and a few classical) references are added; Section 11.1 of the previous version has been split into two subsections. A more detailed discussion of the quasi-localization of the canonical formulation of general relativity, and of a class of two-surface observables are given.
Update A new paragraph with two new references on results of numerical calculations of the Komar expression is added.
Update A more detailed discussion of the Penrose inequality involving the angular momentum is given. Four new references have been added.
Update This new subsection, mostly on Dain’s inequality, and several new references are added.
Update This new subsection on potential applications of the quasi-local ideas in cosmology, and several new references are.

Previous version:

http://www.livingreviews.org/lrr-2004-4


"Quasi-Local Energy-Momentum and Angular Momentum in General Relativity"
László B. Szabados
http://www.livingreviews.org/lrr-2009-4		 Creative Commons License
This work is licensed under a Creative Commons License.
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