2023/08/07 by Gregory J. Galloway, Galloway, Gregory J.
Mathematics · Computer Science · #Mathematical Dynamics and Fractals #Computational Geometry and Mesh Generation #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2308.03728
Marginally outer trapped surfaces (also referred to as apparent horizons) that are stable in 3-dimensional initial data sets obeying the dominant energy condition strictly are known to satisfy an area bound. The main purpose of this note is to show (in several ways) that such surfaces also satisfy a diameter bound.