Mass and angular-momentum inequalities for axi-symmetric initial data sets. II. Angular-momentum

TL;DR

This paper extends angular-momentum inequalities to a broader class of axially symmetric initial data in general relativity, considering multiple ends and the presence of a twist potential.

Contribution

It generalizes Dain's angular-momentum inequality to maximal, asymptotically flat initial data with multiple ends and U(1) symmetry, including the twist potential.

Findings

Validity of angular-momentum inequality extended to new data classes

Applicable to manifolds with multiple asymptotically flat ends

Inclusion of twist potential in the inequality

Abstract

We extend the validity of Dain's angular-momentum inequality to maximal, asymptotically flat, initial data sets on a simply connected manifold with several asymptotically flat ends which are invariant under a U(1) action and which admit a twist potential.