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arXiv · 1012.4190

A counterexample to a Penrose inequality conjectured by Gibbons

Sergio Dain·Gilbert Weinstein·Sumio Yamada
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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.

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Sergio Dain, Gilbert Weinstein, Sumio Yamada. 2010-12-24. A counterexample to a Penrose inequality conjectured by Gibbons. https://doi.org/10.1088/0264-9381%2F28%2F8%2F085015

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