13 citations · 76 across the 18 of their papers we have counts for
20 papers
The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
Sven Hirsch, Marcus Khuri, Martin Lesourd +1
Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloida…
Positive mass theorems for spin initial data sets with arbitrary ends and dominant energy shields
Simone Cecchini, Martin Lesourd, Rudolf Zeidler
We prove a positive mass theorem for spin initial data sets that contain an asymptotically flat end and a shield of dominant energy (a subset of on which the dominant…
The Next Generation Event Horizon Telescope Collaboration: History, Philosophy, and Culture
Peter Galison, Juliusz Doboszewski, Jamee Elder +22
This white paper outlines the plans of the History Philosophy Culture Working Group of the Next Generation Event Horizon Telescope Collaboration.
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…
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…
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…
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…
Stable Surfaces and Free Boundary Marginally Outer Trapped Surfaces
Aghil Alaee, Martin Lesourd, Shing-Tung Yau
We explore various notions of stability for surfaces embedded and immersed in spacetimes and initial data sets. The interest in such surfaces lies in their potential to go beyond t…
Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality
Nikolaos Athanasiou, Martin Lesourd
Based on scale critical initial data, we construct smooth asymptotically flat Cauchy initial data for the Einstein vacuum system that does not contain Marginally Outer Trapped Surf…
A localized spacetime Penrose inequality and horizon detection with quasi-local mass
Aghil Alaee, Martin Lesourd, Shing-Tung Yau
For an admissible class of smooth compact initial data sets with boundary, we prove a comparison theorem between the Wang/Liu-Yau quasi-local mass of the boundary and the Hawking m…
On the Moduli Space of Asymptotically Flat Manifolds with Boundary and the Constraint Equations
Sven Hirsch, Martin Lesourd
Let be a closed -manifold, the space of metrics on with positive scalar curvature, and the group of diffeomorphisms of . Marques…
Null geodesic incompleteness of spacetimes with no CMC Cauchy surfaces
Madeleine Burkhart, Martin Lesourd, Daniel Pollack
Chruściel, Isenberg, and Pollack constructed a class of vacuum cosmological spacetimes that do not admit Cauchy surfaces with constant mean curvature. We prove that, for sufficient…
Cosmological singularities from high matter density without global topological assumptions
Martin Lesourd
Cosmological singularity theorems such as that of Hawking and Penrose assume local curvature conditions as well as global ones like the existence of a compact (achronal) slice. Her…
Causal structure of evaporating black holes
Martin Lesourd
We offer a mathematically rigorous basis for the widely held suspicion that full black hole evaporation is in tension with predictability. Based on conditions expressing the global…
A new singularity theorem for black holes which allows chronology violation in the interior
Martin Lesourd
The interior of the Kerr solution is singular and achronological. The classic singularity theorem by Hawking and Penrose relies on chronology, and thus does not apply to the Kerr s…
Hawking's area theorem with a weaker energy condition
Martin Lesourd
Hawking's area theorem is a fundamental result in black hole theory that is universally associated with the null energy condition. That this condition can be weakened is illustrate…