On a Penrose Inequality with Charge

Details On a Penrose Inequality with Charge On a Penrose Inequality with Charge

2004-05-31

arxiv.org/abs/math/0405602v3

Commun.Math.Phys. 257 (2005) 703-723

Mathematics

Differential Geometry

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

Scientific paper

10.1007/s00220-005-1355-0

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.

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