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arXiv · 1407.3621

Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality

Ye Sle Cha·Marcus A. Khuri
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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.

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Ye Sle Cha, Marcus A. Khuri. 2015-12-02. Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality. https://doi.org/10.1007/s00023-014-0378-5

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