Quasi-Local "Conserved Quantities"

Details Quasi-Local "Conserved Quantities" Quasi-Local "Conserved Quantities"

2001-01-09

arxiv.org/abs/gr-qc/0101035v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, contribution to the proceedings of the 9th Marcel Grossmann Meeting; typos corrected

Scientific paper

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.

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