4 papers
On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones
Klaus Kroencke, Markus Wolff
In this paper, we address the uniqueness of surfaces of constant spacetime mean curvature in an asymptotically Schwarzschildean lightcone of mass . We prove that there exists…
A note on the stability of surfaces along null cones under area-preserving variations
Markus Wolff
In this note we investigate a notion of stability for spacelike cross sections of a null cone under area preserving variations that has been introduced in previous work by Kröncke…
An area growth argument for null mean curvature flow along the standard de Sitter lightcone
Markus Wolff
We consider null mean curvature flow along the standard lightcone in the de Sitter spacetime. This flow was first studied by Roesch--Scheuer along null hypersurfaces for the detect…
Families of non time-symmetric initial data sets and Penrose-like energy inequalities
Armando J. Cabrera Pacheco, Markus Wolff
Motivated by solving the constraint equations in the evolutionary form suggested by Rácz, we propose a family of asymptotically flat initial data sets which are "asymptotically sph…