Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality
Abstract
We show how to reduce the general formulation of the mass-angular momentum-charge inequality, for axisymmetric initial data of the Einstein-Maxwell equations, to the known maximal case whenever a geometrically motivated system of equations admits a solution. It is also shown that the same reduction argument applies to the basic inequality yielding a lower bound for the area of black holes in terms of mass, angular momentum, and charge. This extends previous work by the authors [4] (arXiv:1401.3384), in which the role of charge was omitted. Lastly, we improve upon the hypotheses required for the mass-angular momentum-charge inequality in the maximal case.
Keywords
Cite
@article{arxiv.1407.3621,
title = {Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality},
author = {Ye Sle Cha and Marcus A. Khuri},
journal= {arXiv preprint arXiv:1407.3621},
year = {2015}
}
Comments
34 pages; final version. This article builds on previous work of the authors (arXiv:1401.3384) by including the electromagnetic field