Curvature estimates for stable marginally trapped surfaces
General Relativity and Quantum Cosmology
2007-05-23 v2 Differential Geometry
Abstract
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 trapped surface in terms of the intrinsic and extrinsic curvature of a slice containing the surface. These estimates are well adapted to situations of physical insterest, such as dynamical horizons.
Cite
@article{arxiv.gr-qc/0512106,
title = {Curvature estimates for stable marginally trapped surfaces},
author = {Lars Andersson and Jan Metzger},
journal= {arXiv preprint arXiv:gr-qc/0512106},
year = {2007}
}
Comments
28 pages. This is a major rework of the previous version. It extends the curvature estimates to no longer require global area bounds. In addition some mistakes were corrected