Construction of energy-momentum tensor of gravitation
General Relativity and Quantum Cosmology
2016-01-20 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We construct the gravitational energy-momentum tensor in general relativity through the Noether theorem. In particular, we explicitly demonstrate that the constructed quantity can vary as a tensor under the general coordinate transformation. Furthermore, we verify that the energy-momentum conservation is satisfied because one of the two indices of the energy-momentum tensor should be in the local Lorentz frame. It is also shown that the gravitational energy and the matter one cancel out in certain space-times.
Keywords
Cite
@article{arxiv.1506.02760,
title = {Construction of energy-momentum tensor of gravitation},
author = {Kazuharu Bamba and Katsutaro Shimizu},
journal= {arXiv preprint arXiv:1506.02760},
year = {2016}
}
Comments
13 pages, no figure, version accepted for publication in International Journal of Geometric Methods in Modern Physics