Quasi-local mass on unit spheres at spatial infinity
General Relativity and Quantum Cosmology
2019-01-23 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
In this note, we compute the limit of the Wang-Yau quasi-local mass on unit spheres at spatial infinity of an asymptotically flat initial data set. Similar to the small sphere limit of the Wang-Yau quasi-local mass, we prove that the leading order term of the quasi-local mass recovers the stress-energy tensor. For a vacuum spacetime, the quasi-local mass decays faster and the leading order term is related to the Bel-Robinson tensor. Several new techniques of evaluating quasilocal mass are developed in this note.
Cite
@article{arxiv.1901.06954,
title = {Quasi-local mass on unit spheres at spatial infinity},
author = {Po-Ning Chen and Mu-Tao Wang and Ye-Kai Wang and Shing-Tung Yau},
journal= {arXiv preprint arXiv:1901.06954},
year = {2019}
}
Comments
24 pages