Quasilocal Center-of-Mass

Details Quasilocal Center-of-Mass Quasilocal Center-of-Mass

2004-03-25

arxiv.org/abs/gr-qc/0403103v2

J.Korean Phys.Soc. 45 (2004) S22-S25

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, contribution to the 6th International Conference of Gravitation and Astrophysics, Seoul, 2003 (revised version)

Scientific paper

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{\'e} 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.

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