Comment on the Herzlich's proof of the Penrose inequality

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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LaTeX, 3 pages. 3 misprints corrected

Scientific paper

Recently Herzlich proved a Penrose-like inequality with a coefficient being a
kind of a Sobolev constant. We show that this constant tends to zero for
charged black holes approaching maximal Reissner-Nordstroem solutions. The
method proposed by Herzlich is not appropriate for charged matter with nonzero
global charge.

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