The Einstein and M{\o}ller energy-momentum complexes in post-Newtonian approximation
Abstract
In the first and second post-Newtonian approximation of the Schwarzschild metric, I obtain the energy component of the Einstein and M{\o}ller energy-momentum complex. Both energies involve the rest-mass energy , the energy stored in the configuration and that in the gravitational field, but the energies of Schwarzschild spacetime in the Einstein and M{\o}ller prescriptions are the total mass-energy . First, for general relativity, the rest-mass energy in the flat spacetime behaves like the bare mass, and the total mass-energy in the curved spacetime behaves like the experimentally observed mass. Second, the zero-potential surface is important condition for defining the energy of gravitational field, and plays an important role in the energy-momentum localization of general relativity.
Keywords
Cite
@article{arxiv.2111.11020,
title = {The Einstein and M{\o}ller energy-momentum complexes in post-Newtonian approximation},
author = {I-Ching Yang},
journal= {arXiv preprint arXiv:2111.11020},
year = {2021}
}