Comment on the Herzlich's proof of the Penrose inequality

Details Comment on the Herzlich's proof of the Penrose inequality Comment on the Herzlich's proof of the Penrose inequality

1998-06-08

arxiv.org/abs/gr-qc/9806035v2

Acta Phys.Polon.B29:1975,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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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