2024/04/29 by Shen, Dawei
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)
paper · doi:10.48550/arxiv.2405.00735
In 1993, the global stability of Minkowski spacetime has been proven in the celebrated work of Christodoulou and Klainerman \citeCh-Kl. In 2003, Klainerman and Nicolò \citeKl-Ni revisited Minkowski stability in the exterior of an outgoing null cone. In \citeShen23, the author extended the results of \citeCh-Kl to minimal decay assumptions. In this paper, we prove that the exterior stability of Minkowski holds with decay which is borderline compared to the minimal decay considered in \citeShen23.