Pure and Applied Mathematics Quarterly

Volume 20 (2024)

Number 4

Remark on the nonlinear stability of Minkowski spacetime: a rigidity theorem

Pages: 1697 – 1720

DOI: https://dx.doi.org/10.4310/PAMQ.2024.v20.n4.a7

Authors

Jin Jia (School of Mathematics, Hunan University, Changsha, Hunan, China)

Pin Yu (Department of Mathematics and Yau Mathematical Sciences Center, Tsinghua University, Beijing, China)

Abstract

In the framework of the nonlinear stability of Minkowski spacetime, we show that if the radiation field of the curvature tensor vanishes, the spacetime must be flat.

Keywords

radiation field, Einstein equation

2010 Mathematics Subject Classification

Primary 35A02. Secondary 83C05.

Received 1 March 2022

Received revised 15 April 2023

Accepted 20 June 2023

Published 18 July 2024