Remarks on the size of apparent horizons
General Relativity and Quantum Cosmology
2023-08-16 v2 Differential Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.2308.03728,
title = {Remarks on the size of apparent horizons},
author = {Gregory J. Galloway},
journal= {arXiv preprint arXiv:2308.03728},
year = {2023}
}
Comments
10 pages. v2: minor changes/corrections, reference added