Energy-momentum Tensor: Noether vs Hilbert
General Relativity and Quantum Cosmology
2024-05-01 v2
Abstract
We revisit the old problem of the energy-momentum tensor in general relativistic field theories. On the basis of the general covariance we derive a simple equation for the Hilbert and Noether energy-momentum tensors for the scalar and electromagnetic field theories. We see that the two definitions of energy-momentum tensors coincide and identify the Noether current if the space-time has the Killing vector. Relation to the Wald entropy is also briefly discussed.
Cite
@article{arxiv.2403.17457,
title = {Energy-momentum Tensor: Noether vs Hilbert},
author = {Akio Hosoya and Shunsuke Fujii},
journal= {arXiv preprint arXiv:2403.17457},
year = {2024}
}
Comments
After further confirmation of other published papers, we found that our paper is not new. Thus we are going to withdraw our paper from arXiv