Another proof of the positive energy theorem in gravity
General Relativity and Quantum Cosmology
2008-02-14 v2 High Energy Physics - Theory
Abstract
We show that gravitational energy expression simplifies when a new set of coordinates that satisfies a certain asymptotic gauge condition is used. Compared to the ADM formula, positivity of the energy is more transparent in this new construction. Our proof relies on the asymptotic symmetries (specifically supertranslations) of the asymptotically flat spacetimes at spatial infinity in four dimensions.
Cite
@article{arxiv.0709.0407,
title = {Another proof of the positive energy theorem in gravity},
author = {Ozgur Sarioglu and Bayram Tekin},
journal= {arXiv preprint arXiv:0709.0407},
year = {2008}
}
Comments
v2: 7 pages, no figures, REVTeX4; Major revision including the change in the title, the focus is now only on the D=4 case