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

TL;DR

This paper establishes inequalities relating mass, angular momentum, and charge for axisymmetric initial data in electro-vacuum spacetimes, providing bounds that connect these physical quantities.

Contribution

It proves an upper bound for angular momentum and charge in terms of mass for specific axisymmetric initial data sets, advancing understanding of these inequalities.

Findings

Derived an upper bound for angular momentum based on mass.

Established a charge-mass inequality for axisymmetric configurations.

Clarified conditions under which these inequalities hold.

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.