48 citations · 249 across the 34 of their papers we have counts for
Showing 2013 · math.APShow all
3 papers · 2 filters
math.AP2013★ 6 cited
Bounds on the Bondi Energy by a Flux of Curvature
Spyros Alexakis, Arick Shao
We consider smooth null cones in a vacuum spacetime that extend to future null infinity. For such cones that are perturbations of shear-free outgoing null cones in Schwarzschild sp…
math.AP2013★ 1 cited
Singular Ricci solitons and their stability under the Ricci flow
Spyros Alexakis, Dezhong Chen, Grigorios Fournodavlos
We introduce certain spherically symmetric singular Ricci solitons and study their stability under the Ricci flow from a dynamical PDE point of view. The solitons in question exist…
math.AP2013★ 5 cited
On the Geometry of Null Cones to Infinity Under Curvature Flux Bounds
Spyros Alexakis, Arick Shao
The main objective of this paper is to control the geometry of a future outgoing truncated null cone extending smoothly toward infinity in an Einstein-vacuum spacetime. In particul…