A counterexample to a Penrose inequality conjectured by Gibbons
General Relativity and Quantum Cosmology
2011-05-05 v2 Differential Geometry
Abstract
We show that the Brill-Lindquist initial data provides a counterexample to a Riemannian Penrose inequality with charge conjectured by G. Gibbons. The observation illustrates a sub-additive characteristic of the area radii for the individual connected components of an outermost horizon as a lower bound of the ADM mass.
Cite
@article{arxiv.1012.4190,
title = {A counterexample to a Penrose inequality conjectured by Gibbons},
author = {Sergio Dain and Gilbert Weinstein and Sumio Yamada},
journal= {arXiv preprint arXiv:1012.4190},
year = {2011}
}