The spacetime positive mass theorem in dimensions less than eight
type: Item
instance of: scholarly article
title: The spacetime positive mass theorem in dimensions less than eight
zbMATH Open document ID: 1341.53067
DOI: 10.4171/JEMS/584
author: Michael Eichmair
author: Lan-Hsuan Huang
author: Dan A. Lee
author: Richard Schoen
published in: Journal of the European Mathematical Society (JEMS)
publication date: 2016-02-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1110.2087
review text: This elegant work presents a new approach to, and an interesting proof of, the well-known spacetime positive mass theorem, or as the authors prefer to refer to it more precisely, the positive energy theorem. A comprehensive review of the previous work done by others helps the reader appreciate even further the authors' proof as self-contained (vs. proof by reduction to a previous known case). In addition, another intriguing result of independent interest is established -- a density theorem. The authors use it to reduce the general case of the spacetime positive mass theorem to special case of initial data that has harmonic asymptotics and satisfies the strict dominant energy condition.
reviewed by: Raina Ivanova
Mathematics Subject Classification ID: 53C21
Mathematics Subject Classification ID: 83C99
Mathematics Subject Classification ID: 53C50
zbMATH DE Number: 6539494
zbMATH Keywords: positive mass theorem
zbMATH Keywords: marginally outer trapped surfaces
MaRDI profile type: Publication
arXiv ID: 1110.2087
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description: scientific article