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Comment on the Herzlich's proof of the Penrose inequality

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.

preprint2003arXivOpen access

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