13 citations · 37 across the 7 of their papers we have counts for
7 papers
Event horizon gluing and black hole formation in vacuum: the very slowly rotating case
Christoph Kehle, Ryan Unger
In this paper, we initiate the study of characteristic event horizon gluing in vacuum. More precisely, we prove that Minkowski space can be glued along a null hypersurface to any r…
Noncompact Fill-Ins of Bartnik Data
Dan A. Lee, Martin Lesourd, Ryan Unger
We generalize Y. Shi and L.-F.\ Tam's \cite{ShiTam} nonnegativity result for the Brown-York mass, by considering nonnegative scalar curvature (NNSC) fill-ins that need only be comp…
Gravitational collapse to extremal black holes and the third law of black hole thermodynamics
Christoph Kehle, Ryan Unger
We construct examples of black hole formation from regular, one-ended asymptotically flat Cauchy data for the Einstein-Maxwell-charged scalar field system in spherical symmetry whi…
Density and positive mass theorems for incomplete manifolds
Dan A. Lee, Martin Lesourd, Ryan Unger
For manifolds with a distinguished asymptotically flat end, we prove a density theorem which produces harmonic asymptotics on the distinguished end, while allowing for points of in…
Density and positive mass theorems for initial data sets with boundary
Dan A. Lee, Martin Lesourd, Ryan Unger
We prove a harmonic asymptotics density theorem for asymptotically flat initial data sets with compact boundary that satisfy the dominant energy condition. We use this to settle th…
The Positive Mass Theorem with Arbitrary Ends
Martin Lesourd, Ryan Unger, Shing-Tung Yau
We prove a Riemannian positive mass theorem for manifolds with a single asymptotically flat end, but otherwise arbitrary other ends, which can be incomplete and contain negative sc…
Positive Scalar Curvature on Noncompact Manifolds and the Liouville Theorem
Martin Lesourd, Ryan Unger, Shing-Tung Yau
Using minimal hypersurfaces, we obtain topological obstructions to admitting complete metrics with positive scalar curvature on a given class of non-compact n-manifolds with n less…