Beijing Journal of Pure and Applied Mathematics

Volume 1 (2024)

Number 2

An overview of Bartnik’s quasi-local mass

Pages: 455 – 487

DOI: https://dx.doi.org/10.4310/BPAM.2024.v1.n2.a2

Author

Stephen McCormick (Department of Engineering Sciences and Mathematics, Luleå University of Technology, Luleå, Sweden)

Abstract

This article provides a concise introduction to Bartnik’s quasi-local mass, and surveys a selection of results pertaining to the understanding of it. The aim is to serve as both an entry point to the topic, and a quick reference of results for those already familiar with it.

Keywords

quasi-local mass, asymptotically flat manifolds, ADM mass

2010 Mathematics Subject Classification

Primary 53C20, 83C99. Secondary 53-02.

Full Text (PDF format)

Received 23 July 2023

Accepted 9 January 2024

Published 17 July 2024