A counterexample to a Penrose inequality conjectured by Gibbons

Sergio Dain; Gilbert Weinstein; Sumio Yamada

doi:10.1088/0264-9381/28/8/085015

A counterexample to a Penrose inequality conjectured by Gibbons

Sergio Dain
, Gilbert Weinstein
, Sumio Yamada

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that the Brill-Lindquist initial data provide a counterexample to a Riemannian Penrose inequality with charge conjectured by 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.

Original language	English
Article number	085015
Journal	Classical and Quantum Gravity
Volume	28
Issue number	8
DOIs	https://doi.org/10.1088/0264-9381/28/8/085015
State	Published - 21 Apr 2011
Externally published	Yes

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10.1088/0264-9381/28/8/085015

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abstract = "We show that the Brill-Lindquist initial data provide a counterexample to a Riemannian Penrose inequality with charge conjectured by 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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AB - We show that the Brill-Lindquist initial data provide a counterexample to a Riemannian Penrose inequality with charge conjectured by 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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A counterexample to a Penrose inequality conjectured by Gibbons

Abstract

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