Quasi-Local Energy-Momentum and Angular Momentum in General Relativity

doi:doi:10.12942/lrr-2009-4

url: http://www.livingreviews.org/lrr-2009-4

doi: 10.12942/lrr-2009-4

Living Rev. Relativity 12 (2009), 4

Quasi-Local Energy-Momentum and Angular Momentum in General Relativity

László B. Szabados

Affiliation(s)

¹ Wigner Research Centre for Physics of the Hungarian Academy of Sciences, H-1525 Budapest 114, P.O. Box 49, Hungary

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Article Abstract

The present status of the quasi-local mass, energy-momentum and angular-momentum constructions in general relativity is reviewed. First, the general ideas, concepts, and strategies, as well as the necessary tools to construct and analyze the quasi-local quantities, are recalled. Then, the various specific constructions and their properties (both successes and deficiencies are discussed. Finally, some of the (actual and potential) applications of the quasi-local concepts and specific constructions are briefly mentioned.

Keywords: Witten equations, Quasi-local energy-momentum, Quasi-local angular momentum, General relativity, Quasi-local mass

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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

László B. Szabados,
"Quasi-Local Energy-Momentum and Angular Momentum in General Relativity",
Living Rev. Relativity 12, (2009), 4. URL (cited on <date>):
http://www.livingreviews.org/lrr-2009-4

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Article History

ORIGINAL	http://www.livingreviews.org/lrr-2004-4
Title	Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
Author	László B. Szabados
Date	accepted 27 February 2004, published 16 March 2004
FAST-TRACK REVISION
Date	accepted 23 March 2005, published 1 June 2005
Changes	Recent developments of the field are included. 16 new references are added, minor improvements and corrections of the text are made at several points, and the bibliography is updated. For detailed description see here .
UPDATE	http://www.livingreviews.org/lrr-2009-4
Title	Quasi-Local Energy-Momentum and Angular Momentum in General Relativity
Author	László B. Szabados
Date	accepted 24 March 2009, published 19 June 2009
Changes	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.
FAST-TRACK REVISION
Date	accepted 3 December 2012, published 7 December 2012
Changes	Recent developments of the field are included. A few subsections and more than fifty new references are added, minor improvements and corrections of the text are made at several points, and the bibliography is updated. For detailed description see here .