The global stability of Minkowski space-time in harmonic gauge


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, which relies on the classical harmonic gauge, shows that the Einstein-vacuum and the Einstein-scalar field equations with asymptotically flat initial data satisfying a global smallness condition produce global (causally geodesically complete) solutions asymptotically convergent to the Minkowski space-time.


Hans Lindblad

University of California, San Diego
Department of Mathematics
La Jolla CA 92093-0112
United States

Igor Rodnianski

Princeton University
Department of Mathematics
Fine Hall–Washington Road
Princeton NJ 08544
United States