On a Penrose Inequality with Charge

Abstract

We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies the inequality: m - 1/2(R + Q^2/R) < 0, where m is the total mass, R=sqrt(A/4) 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 to charged black holes.

Minor revision: some typos; author's address updated; bibliographical reference added; journal information: to appear in Comm. Math. Phys

References in corpus (1)

• Gluing and wormholes for the Einstein constraint equations

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