Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
- PMID: 28179865
- PMCID: PMC5255888
- DOI: 10.12942/lrr-2004-4
Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review 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 defects) are discussed. Finally, some of the (actual and potential) applications of the quasi-local concepts and specific constructions are briefly mentioned. This review is based on the talks given at the Erwin Schrödinger Institute, Vienna, in July 1997, at the Universität Tübingen, in May 1998, and at the National Center for Theoretical Sciences in Hsinchu and at the National Central University, Chungli, Taiwan, in July 2000.
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References
-
- Abbott LF, Deser S. Stability of gravity with a cosmological constant. Nucl. Phys. B. 1982;195:76–96. doi: 10.1016/0550-3213(82)90049-9. - DOI
-
- Aguirregabiria JM, Chamorro A, Virbhadra KS. Energy and angular momentum of charged rotating black holes. Gen. Relativ. Gravit. 1996;28:1393–1400. doi: 10.1007/BF02109529. - DOI
-
- Aichelburg PC. Remark on the superposition principle for gravitational waves. Acta Phys. Austriaca. 1971;34:279–284.
-
- Allemandi G, Francaviglia M, Raiteri M. Energy in Einstein-Maxwell theory and the first law of isolated horizons via the Noether theorem. Class. Quantum Grav. 2002;19:2633–2655. doi: 10.1088/0264-9381/19/10/308. - DOI
-
- Alvarez-Gaumé L, Nelson P. Riemann surfaces and string theories. In: de Wit B, Fayet P, Grisaru M, editors. Supersymmetry, Supergravity, Superstrings’ 86; Singapore: World Scientific; 1986. pp. 419–510.
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