The global stability of the Minkowski space-time in harmonic gauge
Analysis of PDEs
2010-01-03 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We give a new proof of the global stability of Minkowski space originally established in the vacuum case by Christodoulou and Klainerman. The new approach shows that the Einstein-vacuum and the Einstein-scalar field equations with general asymptotically flat initial data satisfying a global smallness condition produce global (causally geodesically complete) solutions asymptotically convergent to the Minkowski space-time. The proof utilizes the classical harmonic (also known as de Donder or wave coordinate) gauge.
Keywords
Cite
@article{arxiv.math/0411109,
title = {The global stability of the Minkowski space-time in harmonic gauge},
author = {Hans Lindblad and Igor Rodnianski},
journal= {arXiv preprint arXiv:math/0411109},
year = {2010}
}