Proposal for the proper gravitational energy-momentum tensor
General Relativity and Quantum Cosmology
2017-01-05 v7
Abstract
We propose a gravitational energy-momentum tensor of the general relativity obtained using Noethers theorem. It transforms as a tensor under general coordinate transformations. One of the two indices of the gravitational energy-momentum tensor labels a local Lorentz frame that satisfies the energy-momentum conservation law. The energies for a gravitational wave and a Friedmann-Lemaitre--Robertson--Walker universe are calculated as examples.
Keywords
Cite
@article{arxiv.1601.04556,
title = {Proposal for the proper gravitational energy-momentum tensor},
author = {Katsutaro Shimizu},
journal= {arXiv preprint arXiv:1601.04556},
year = {2017}
}
Comments
A discussion on a Schwarzschild black hole is deleted