Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1999-12-15
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, no figures, uses mprocl.sty, to appear in the Proceeding of the 4th International Workshop on Gravitation and Astrop
Scientific paper
Traditional approaches to energy-momentum localization led to reference frame dependent pseudotensors. The more modern idea is quasilocal energy-momentum. We take a Hamiltonian approach. The Hamiltonian boundary term gives not only the quasilocal values but also boundary conditions via the Hamiltonian variation boundary principle. Selecting a Hamiltonian boundary term involves several choices. We found that superpotentials can serve as Hamiltonian boundary terms, consequently pseudotensors are actually quasilocal and legitimate. Various Hamiltonian boundary term quasilocal expressions are considered including some famous pseudotensors, M{\o}ller's tetrad-teleparallel ``tensor'', Chen's covariant expressions, the expressions of Katz & coworkers, the expression of Brown & York, and some spinor expressions. We emphasize the need for identifying criteria for a good choice.
Chang Chia-Chen
Chen Chiang-Mei
Nester James M.
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