Quasi-local mass and isometric embedding with reference to a static spacetime
General Relativity and Quantum Cosmology
2020-10-27 v1 Mathematical Physics
Analysis of PDEs
Differential Geometry
math.MP
Abstract
The mathematical theory of isometric embedding is applied to study the notion of quasilocal mass in general relativity. In particular, I shall report some recent progress of quasilocal mass with reference to a cosmological spacetime, such as the de Sitter or the Anti-de Sitter spacetime, or a blackhole spacetime, such as the Schwarzschild spacetime. This article is based on joint work with Po-Ning Chen, Ye-Kai Wang, and Shing-Tung Yau.
Cite
@article{arxiv.2010.12677,
title = {Quasi-local mass and isometric embedding with reference to a static spacetime},
author = {Mu-Tao Wang},
journal= {arXiv preprint arXiv:2010.12677},
year = {2020}
}
Comments
to appear in Advanced Studies in Pure Mathematics 85, 2020, The Role of Metrics in the Theory of Partial Differential Equations