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Quasilocal Center-of-Mass | | James M. Nester
; Feng-Feng Meng
; Chiang-Mei Chen
; | | Date: |
25 Mar 2004 | | Journal: | J.Korean Phys.Soc. 45 (2004) S22-S25 | | Subject: | gr-qc | | Abstract: | Gravitating systems have no well-defined local energy-momentum density. Various quasilocal proposals have been made, however the center-of-mass moment (COM) has generally been overlooked. Asymptotically flat graviating systems have 10 total conserved quantities associated with the Poincar{é symmetry at infinity. In addition to energy-momentum and angular momentum (associated with translations and rotations) there is the boost quantity: the COM. A complete quasilocal formulation should include this quantity. Getting good values for the COM is a fairly strict requirement, imposing the most restrictive fall off conditions on the variables. We take a covariant Hamiltonian approach, associating Hamiltonian boundary terms with quasilocal quantities and boundary conditions. Unlike several others, our {it covariant symplectic} quasilocal expressions do have the proper asymptotic form for all 10 quantities. | | Source: | arXiv, gr-qc/0403103 | | Services: | Forum | Review | PDF | Favorites | |
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