Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article

2004/03/16 by László B. Szabados · 322 citations
Physics and Astronomy · #Angular momentum #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Construct (python library) #Cosmology and Gravitation Theories #Energy–momentum relation #General relativity #Momentum (technical analysis) #Noncommutative and Quantum Gravity Theories #Physics #Theoretical physics #Theory of relativity

paper · pdf · doi:10.12942/lrr-2004-4

published in Living Reviews in Relativity 7(1), 4 (Springer Science+Business Media)

openalex publication_date 2004/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

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.

Citations

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Cited by

• Conserved charges, surface degrees of freedom, and black hole entropy
• Unified first law and the thermodynamics of the apparent horizon in the FRW universe
• ADM pseudotensors, conserved quantities and covariant conservation laws in general relativity
• Invariant conserved currents in gravity theories: Diffeomorphisms and local gauge symmetries
• Bekenstein bounds and inequalities between size, charge, angular momentum, and energy for bodies
• A reformulation of the hoop conjecture
• Conformal boundary conditions, loop gravity and the continuum
• Effect of a quintessence model on the energy of the Reissner–Nordstrom black hole
• Inequalities Between Size, Mass, Angular Momentum, and Charge for Axisymmetric Bodies and the Formation of Trapped Surfaces
• Misner-Sharp mass and the unified first law in massive gravity
• Quasilocal energy flux of spacetime perturbation
• Gauge-invariant localization of infinitely many gravitational energies from all possible auxiliary structures
• Eternity and the cosmological constant
• Influence of global cosmological expansion on local dynamics and kinematics
• General relativity [wikipedia]
• Mass in general relativity [wikipedia]