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On a Penrose Inequality with Charge |
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| Authors: | |
| Institution: | (1) Dept. of Mathematics, University of Alabama at Birmingham, Birmingham, AL, USA;(2) Mathematical Institute, Tohoku University, Sendai, Japan |
| Abstract: | We construct a time-symmetric asymptotically flat initial data set to the Einstein-Maxwell Equations which satisfies where m is the total mass,  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.The research of the first author was supported in part by NSF Grant DMS-0205545.The research of the second author was supported in part by NSF Grant DMS-0222387. |
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