On a penrose inequality with charge

Gilbert Weinstein, Sumio Yamada

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31 Citations (Scopus)


We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies m -1/2 (R + Q^2 / R) > 0 where m is the total mass, R = \sqrt A / 4 pi is the area radius of the outermost horizon and Q is the total charge. This yields a counter-example to a natural extension of the Penrose Inequality for charged black holes
Original languageEnglish
Pages (from-to)703 - 723
Number of pages21
JournalCommunications in Mathematical Physics
Issue number3
Publication statusPublished - 2005
Externally publishedYes

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