Update available: http://www.livingreviews.org/lrr-2009-4
László B. Szabados
Research Institute for Particle and Nuclear Physics
of the Hungarian Academy of Sciences
P. O. Box 49
H-1525 Budapest 114
This article has been revised on 01 Jun 2005 (see changes in detail).
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.
© Max Planck Society and the author(s)