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

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

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/28/8/085015

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title = "A counterexample to a Penrose inequality conjectured by Gibbons",

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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AU - Weinstein, Gilbert

AU - Yamada, Sumio

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N2 - 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.

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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U2 - 10.1088/0264-9381/28/8/085015

DO - 10.1088/0264-9381/28/8/085015

M3 - مقالة

SN - 0264-9381

VL - 28

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 8

M1 - 085015

ER -

A counterexample to a Penrose inequality conjectured by Gibbons

Abstract

All Science Journal Classification (ASJC) codes

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