Brown-York mass and the hoop conjecture in non-spherical massive systems
General Relativity and Quantum Cosmology
2015-04-16 v1
Abstract
We discuss the relation between the concentration of the Brown-York mass and the formation of trapped surfaces in non-spherical massive systems. In particular, we formulate and prove a precise version of the Thorne hoop conjecture in conformally flat three-geometries sliced by equipotential foliation leaves. An intriguing relationship between the total rest mass and the Brown-York mass is shown. This is a further investigation of the previous work on the Brown-York mass hoop conjecture in spherical symmetry.
Keywords
Cite
@article{arxiv.1503.01354,
title = {Brown-York mass and the hoop conjecture in non-spherical massive systems},
author = {Edward Malec and Naqing Xie},
journal= {arXiv preprint arXiv:1503.01354},
year = {2015}
}