English

The trivial solution of the gravitational energy-momentum tensor problem

General Relativity and Quantum Cosmology 2014-08-08 v2

Abstract

In the literature one often finds the claim that there is no such thing as an energy-momentum tensor for the gravitational field, and consequently, that the total energy-momentum conservation can only be defined in terms of a gravitational energy-momentum pseudo-tensor. Nevertheless, by relaxing the assumption that gravitational energy-momentum tensor should only depend on first derivatives of the metric, the Einstein equation leads to a trivial result that gravitational energy-momentum tensor is essentially the Einstein tensor. We discuss various peculiarities of such a definition of energy-momentum are argue that all these peculiarities have a sensible physical interpretation.

Keywords

Cite

@article{arxiv.1407.8028,
  title  = {The trivial solution of the gravitational energy-momentum tensor problem},
  author = {H. Nikolic},
  journal= {arXiv preprint arXiv:1407.8028},
  year   = {2014}
}

Comments

6 pages, revised, new references