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Updated: Aug 9, 2026

A Microfluidic-based Hydrodynamic Trap for Single Particles
Published on: January 22, 2011
Local existence of dynamical and trapping horizons
Lars Andersson1, Marc Mars, Walter Simon
1Albert Einstein Institute, Am Mühlenberg 1, D-14476 Potsdam, Germany. larsa@math.miami.edu
Abstract:
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 "horizon" i.e., a smooth 3-surface foliated by marginally outer trapped slices which lie in the leaves of the given foliation. We also show that under rather weak energy conditions this horizon must be either achronal or spacelike everywhere. Furthermore, we discuss the relation between "bounding" and "stability" properties of marginally outer trapped surfaces.
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