A counterexample to a Penrose inequality conjectured by Gibbons

TL;DR

This paper presents a counterexample to Gibbons' charged Penrose inequality using Brill-Lindquist data, highlighting a sub-additive property of horizon areas relative to ADM mass.

Contribution

It provides the first known counterexample to a specific charged Penrose inequality conjecture, challenging previous assumptions in geometric analysis.

Findings

Counterexample using Brill-Lindquist initial data

Demonstrates sub-additivity of horizon area radii

Challenges the validity of Gibbons' inequality

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.