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arXiv · 1601.04556

Proposal for the proper gravitational energy-momentum tensor

Katsutaro Shimizu
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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.

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Katsutaro Shimizu. 2017-01-04. Proposal for the proper gravitational energy-momentum tensor. https://doi.org/10.1142/s0217732316501510

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