Quasi-local mass integrals and the total mass
Differential Geometry
2016-01-14 v2
Abstract
On asymptotically flat and asymptotically hyperbolic manifolds, by evaluating the total mass via the Ricci tensor, we show that the limits of certain Brown-York type and Hawking type quasi-local mass integrals equal the total mass of the manifold in all dimensions.
Keywords
Cite
@article{arxiv.1510.07756,
title = {Quasi-local mass integrals and the total mass},
author = {Pengzi Miao and Luen-Fai Tam and Naqing Xie},
journal= {arXiv preprint arXiv:1510.07756},
year = {2016}
}
Comments
References updated, introduction revised