13 citations · 20 across the 3 of their papers we have counts for
3 papers
gr-qc2009★ 3 cited
Hawking's local rigidity theorem without analyticity
S. Alexakis, A. D. Ionescu, S. Klainerman
We prove the existence of a Hawking Killing vector-field in a full neighborhood of a local, regular, bifurcate, non-expanding horizon embedded in a smooth vacuum Einstein space-tim…
gr-qc2009★ 13 cited
Unique continuation for the vacuum Einstein equations
Spyros Alexakis
We derive a unique continuation theorem for the vacuum Einstein equations. Our method of proof utilizes Carleman estimates (most importantly one obtained recently by Ionescu and Kl…
math.DG2006★ 4 cited
On conformally invariant differential operators
Spyros Alexakis
We construct new families of conformally invariant differential operators acting on densities. We introduce a simple, direct approach which shows that all such operators arise via…