학술논문

Exterior stability of Minkowski spacetime with borderline decay
Document Type
Working Paper
Author
Source
Subject
Mathematics - Analysis of PDEs
General Relativity and Quantum Cosmology
Mathematics - Differential Geometry
Language
Abstract
In 1993, the global stability of Minkowski spacetime has been proven in the celebrated work of Christodoulou and Klainerman \cite{Ch-Kl}. In 2003, Klainerman and Nicol\`o \cite{Kl-Ni} revisited Minkowski stability in the exterior of an outgoing null cone. In \cite{Shen23}, the author extended the results of \cite{Ch-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 \cite{Shen23}.
Comment: 38 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:2303.12758