On a Penrose Inequality with Charge
Differential Geometry
2009-11-10 v3 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.math/0405602,
title = {On a Penrose Inequality with Charge},
author = {Gilbert Weinstein and Sumio Yamada},
journal= {arXiv preprint arXiv:math/0405602},
year = {2009}
}
Comments
Minor revision: some typos; author's address updated; bibliographical reference added; journal information: to appear in Comm. Math. Phys