Annales Henri Poincaré

, Volume 16, Issue 12, pp 2881–2918 | Cite as

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

  • Ye Sle Cha
  • Marcus A. KhuriEmail author


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 (Cha and Khuri, Ann Henri Poincaré, doi: 10.1007/s00023-014-0332-6, arXiv:1401.3384, 2014), 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.


Black Hole Angular Momentum Initial Data Scalar Curvature Fundamental Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Basel 2014

Authors and Affiliations

  1. 1.Department of MathematicsStony Brook UniversityStony BrookUSA
  2. 2.Mathematical InstituteUniversity of OxfordOxfordUK

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