A counterexample to a Penrose inequality conjectured by Gibbons

Details A counterexample to a Penrose inequality conjectured by Gibbons A counterexample to a Penrose inequality conjectured by Gibbons

2010-12-19

arxiv.org/abs/1012.4190v2

2011 Class. Quantum Grav. 28 085015

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/28/8/085015

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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