Limit of quasilocal mass at spatial infinity
Differential Geometry
2015-05-13 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We study the limit of quasilocal mass defined in [4] and [5] for a family of spacelike 2-surfaces in spacetime. In particular, we show the limit coincides with the ADM mass at spatial infinity. The limit for coordinate spheres of a boosted slice of the Schwarzchild solution is computed explicitly and shown to give the expected energy-momentum four vector.
Cite
@article{arxiv.0906.0200,
title = {Limit of quasilocal mass at spatial infinity},
author = {Mu-Tao Wang and Shing-Tung Yau},
journal= {arXiv preprint arXiv:0906.0200},
year = {2015}
}
Comments
16 pages, a new section ``Review of the definition of quasilocal energy" is added. Typos corrected