48 citations · 249 across the 34 of their papers we have counts for
7 papers · 1 filter
Squeezing a fixed amount of gravitational energy to arbitrarily small scales, in symmetry
Spyros Alexakis, Nathan Thomas Carruth
We prove uniform finite-time existence of solutions to the vacuum Einstein equations in polarized U(1) symmetry which have uniformly positive incoming energy supported on an…
The Penrose inequality on perturbations of the Schwarzschild exterior
Spyros Alexakis
We prove a version the Penrose inequality for black hole space-times which are perturbations of the Schwarzschild exterior in a slab around a null hypersurface $\underline{\mathcal…
Non-existence of time-periodic vacuum spacetimes
Spyros Alexakis, Volker Schlue
We prove that smooth asymptotically flat solutions to the Einstein vacuum equations which are assumed to be periodic in time, are in fact stationary in a neighborhood of infinity.…
Rigidity of stationary black holes with small angular momentum on the horizon
S. Alexakis, A. D. Ionescu, S. Klainerman
We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of…
Uniqueness of smooth stationary black holes in vacuum: small perturbations of the Kerr spaces
S. Alexakis, A. D. Ionescu, S. Klainerman
We prove that a regular stationary black-hole solution of the Einstein vacuum equations which is "close" to some Kerr solution is, in fact, isometric to that Kerr solution.
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…