13 citations · 76 across the 18 of their papers we have counts for
5 papers · 1 filter
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…
Low regularity extensions beyond Cauchy horizons
Martin Lesourd, Ettore Minguzzi
We prove that if in a spacetime endowed with a merely continuous metric, a complete partial Cauchy hypersurface has nonempty Cauchy horizon, then the horizon is caused by the prese…
Topological censorship in spacetimes compatible with
Martin Lesourd, Eric Ling
Currently available topological censorship theorems are meant for gravitationally isolated black hole spacetimes with cosmological constant or . Here, we prove a topolog…
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…
Observations and predictions from past lightcones
Martin Lesourd
In a general Lorentzian manifold M, the past lightcone of a point is a proper subset of M that does not carry enough information to determine the rest of M. That said, if M is a gl…