A Reformulation of the Hoop Conjecture
General Relativity and Quantum Cosmology
2008-11-26 v3
Abstract
A reformulation of the Hoop Conjecture based on the concept of trapped circle is presented. The problems of severe compactness in every spatial direction, and of how to superpose the hoops with the surface of the black hole, are resolved. A new conjecture concerning "peeling" properties of dynamical/trapping horizons is propounded. A novel geometric Hoop inequality is put forward. The possibility of carrying over the results to arbitrary dimension is discussed.
Keywords
Cite
@article{arxiv.0709.0695,
title = {A Reformulation of the Hoop Conjecture},
author = {José M M. Senovilla},
journal= {arXiv preprint arXiv:0709.0695},
year = {2008}
}
Comments
6 pages, no figures. New references included, typos corrected, explanatory comments added. Much shorter version, in order to match EPL length restrictions. To be published in EPL