Nonexistence of Generalized Apparent Horizons in Minkowski Space
Differential Geometry
2015-05-14 v1 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
We establish a Positive Mass Theorem for initial data sets of the Einstein equations having generalized trapped surface boundary. In particular we answer a question posed by R. Wald concerning the existence of generalized apparent horizons in Minkowski space.
Keywords
Cite
@article{arxiv.0910.5042,
title = {Nonexistence of Generalized Apparent Horizons in Minkowski Space},
author = {Marcus A. Khuri},
journal= {arXiv preprint arXiv:0910.5042},
year = {2015}
}