6 citations · 11 across the 3 of their papers we have counts for
3 papers
math-ph2011★ 5 cited
Geometric uniqueness for non-vacuum Einstein equations and applications
David Parlongue
We prove in this note that local geometric uniqueness holds true without loss of regularity for Einstein equations coupled with a large class of matter models. We thus extend the P…
math-ph2011
Local extendability of Einstein vacuum manifolds
David Parlongue
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 t…
math-ph2010★ 6 cited
An integral breakdown criterion for Einstein vacuum equations in the case of asymptotically flat spacetimes
David Parlongue
We will give in this paper the proof of an integral breakdown criterion for Einstein vacuum equations. In a recent article of S.Klainerman and I.Rodnianski a new breakdown criterio…