Energy-Momentum Conservation in General Relativity
High Energy Physics - Theory
2014-11-18 v1 General Relativity and Quantum Cosmology
Abstract
We discuss general properties of the conservation law associated with a local symmetry. Using Noether's theorem and a generalized Belinfante symmetrization procedure in 3+1 dimensions, a symmetric energy-momentum (pseudo) tensor for the gravitational Einstein-Hilbert action is derived and discussed in detail. In 2+1 dimensions, expressions are obtained for energy and angular momentum arising in the gauge theoretical formulation of Einstein gravity. In addition, an expression for energy in a gauge theoretical formulation of the string-inspired 1+1 dimensional gravity is derived and compared with the ADM definition of energy.
Cite
@article{arxiv.hep-th/9310025,
title = {Energy-Momentum Conservation in General Relativity},
author = {Dongsu Bak and D. Cangemi and R. Jackiw},
journal= {arXiv preprint arXiv:hep-th/9310025},
year = {2014}
}
Comments
18 pages in Plain TeX, MIT-CTP-2245