Mass, angular-momentum, and charge inequalities for axisymmetric initial data

Abstract

We present the key elements of the proof of an upper bound for angular-momentum and charge in terms of the mass for electro-vacuum asymptotically flat axisymmetric initial data sets with simply connected orbit space.

References in corpus (4)

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• Black hole Area-Angular momentum-Charge inequality in dynamical non-vacuum spacetimes
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• Deformations of Charged Axially Symmetric Initial Data and the Mass-Angular Momentum-Charge Inequality
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• Recent progress on the positive energy theorem
• Relating Mass to Angular Momentum and Charge in 5-Dimensional Minimal Supergravity
• Axially symmetric spacetimes: numerical and analytical perspectives
• The Positive Mass Theorem with Angular Momentum and Charge for Manifolds with Boundary
• Small deformations of extreme five dimensional Myers-Perry black hole initial data
• Proof of the local mass-angular momenta inequality for $U(1{)}^2$ invariant black holes
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• Geometric inequalities in spherically symmetric spacetimes