The Einstein equation and the energy density of the gravitational field
Mathematical Physics
2008-03-13 v1 Differential Geometry
math.MP
Abstract
We give a derivation of the Einstein equation for gravity which employs a definition of the local energy density of the gravitational field as a symmetric second rank tensor whose value for each observer gives the trace of the spatial part of the energy-stress tensor as seen by that observer. We give a physical motivation for this choice using light pressure.
Keywords
Cite
@article{arxiv.0803.1684,
title = {The Einstein equation and the energy density of the gravitational field},
author = {Maurice J. Dupre},
journal= {arXiv preprint arXiv:0803.1684},
year = {2008}
}