5 citations · 7 across the 5 of their papers we have counts for
6 papers
Mean curvature flow in null hypersurfaces and the detection of MOTS
Henri Roesch, Julian Scheuer
We study the mean curvature flow in 3-dimensional null hypersurfaces. In a spacetime a hypersurface is called null, if its induced metric is degenerate. The speed of the mean curva…
The Isometric Embedding Problem in a Null Cone
Henri Roesch
In the first part of this paper, we extend the result of Li-Wang on the linearized embedding problem to a compact manifold of arbitrary dimension. Using this, we then show that any…
The Isoperimetric Problem in Riemannian Optical Geometry
Henri P. Roesch, Marcus C. Werner
In general relativity, spatial light rays of static spherically symmetric spacetimes are geodesics of surfaces in Riemannian optical geometry. In this paper, we apply results on th…
Quasi-Round MOTSs and Stability of the Schwarzschild Null Penrose Inequality
Henri Roesch
In recent work, the notion of Double Convexity for a foliation of a conical null hypersurface was introduced to give a proof, if satisfied, of the Null Penrose Inequality. Double C…
Null Geometry and the Penrose Conjecture
Hubert L. Bray, Henri P. Roesch
In this paper, we survey recent progress on the Null Penrose Conjecture, including a proof of the conjecture for smooth null cones that are foliated by doubly convex spheres.
Proof of a Null Penrose Conjecture using a new Quasi-local Mass
Henri Roesch
We define an explicit quasi-local mass functional which is non-decreasing along all foliations (satisfying a convexity assumption) of null cones. We use this new functional to prov…