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.
Information
Published: 1 January 2020
First available in Project Euclid: 29 December 2020
Digital Object Identifier: 10.2969/aspm/08510453
Subjects:
Primary:
53Cxx
,
83Cxx
Keywords:
General relativity
,
gravitational energy
,
isometric embedding
,
quasi-local mass
Rights: Copyright © 2020 Mathematical Society of Japan