Local extendability of Einstein vacuum manifolds

Abstract

We revisit in this article results of Klainerman and Rodnianski on a geometric breakdown criterion for Einstein vacuum spacetimes. We take advantage of the use of a time-harmonic transversal gauge to give a localized version (in space and time) of this result.

24 pages, comments of the reviewer have been taken into account

References in corpus (2)

• On Ricci coefficients of null hypersurfaces with time foliation in Einstein vacuum space-time
• Improved breakdown criterion for Einstein vacuum equations in CMC gauge