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Literature DB >> 28179826

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

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.

Year: 2009 PMID： 28179826 PMCID： PMC5256466 DOI： 10.12942/lrr-2009-4

Source DB: PubMed Journal: Living Rev Relativ ISSN： 1433-8351 Impact factor: 40.429

37 in total

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

1. Dynamical horizons: energy, angular momentum, fluxes, and balance laws.

2. Positivity of quasilocal mass.

3. Hoop conjecture for black-hole horizon formation.

4. Quasilocal energy and conserved charges derived from the gravitational action.

5. Spacetimes admitting a three-parameter group of isometries and quasilocal gravitational mass.

6. Gravitational action for spacetimes with nonsmooth boundaries.

7. Hoop conjecture and trapped surfaces in nonspherical massive systems.

8. Brown-york mass and the Thorne hoop conjecture.

9. Tolman mass, generalized surface gravity, and entropy bounds.

10. Exact solution to the averaging problem in cosmology.

Review 1. Null Geodesic Congruences, Asymptotically-Flat Spacetimes and Their Physical Interpretation.

Review 2. Null Geodesic Congruences, Asymptotically-Flat Spacetimes and Their Physical Interpretation.

3. General Relativity, Mental Causation, and Energy Conservation.

4. The general-relativistic case for super-substantivalism.