Quasi-Local "Conserved Quantities"
General Relativity and Quantum Cosmology
2017-08-23 v3 High Energy Physics - Theory
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.
Cite
@article{arxiv.gr-qc/0101035,
title = {Quasi-Local "Conserved Quantities"},
author = {Roh S. Tung},
journal= {arXiv preprint arXiv:gr-qc/0101035},
year = {2017}
}
Comments
4 pages, contribution to the proceedings of the 9th Marcel Grossmann Meeting; typos corrected