113 citations · 344 across the 18 of their papers we have counts for
4 papers · 1 filter
Geometric Analysis and General Relativity
Lars Andersson
This article discusses methods of geometric analysis in general relativity, with special focus on the role of "critical surfaces" such as minimal surfaces, marginal surface, maxima…
Timelike Minimal Submanifolds of General Co-dimension in Minkowski SpaceTime
Paul Allen, Lars Andersson, James Isenberg
We consider the timelike minimal surface problem in Minkowski spacetimes and show local and global existence of such surfaces having arbitrary dimension and arbitrary co-d…
Curvature estimates for stable marginally trapped surfaces
Lars Andersson, Jan Metzger
We derive integral and sup-estimates for the curvature of stably marginally outer trapped surfaces in a sliced space-time. The estimates bound the shear of a marginally outer trapp…
Local existence of dynamical and trapping horizons
Lars Andersson, Marc Mars, Walter Simon
Given a spacelike foliation of a spacetime and a marginally outer trapped surface S on some initial leaf, we prove that under a suitable stability condition S is contained in a ``h…