Quasi-Local "Conserved Quantities"
arXiv:gr-qc/0101035 · doi:10.1142/9789812777386_0322
Abstract
Using the Noether Charge formulation, we study a perturbation of the conserved gravitating system. By requiring the boundary term in the variation of the Hamiltonian to depend only on the symplectic structure, we propose a general prescription for defining quasi-local ``conserved quantities'' (i.e. in the situation when the gravitating system has a non-vanishing energy flux). Applications include energy-momentum and angular momentum at spatial and null infinity, asymptotically anti-deSitter spacetimes, and thermodynamics of the isolated horizons.
arXiv comment4 pages, contribution to the proceedings of the 9th Marcel Grossmann Meeting; typos corrected