A Dain Inequality with charge

TL;DR

This paper establishes an inequality relating angular momentum, charge, and mass for certain electro-vacuum initial data in general relativity, extending understanding of physical bounds in axisymmetric spacetimes.

Contribution

It proves a new inequality connecting angular momentum, charge, and mass for electro-vacuum axisymmetric initial data with simply connected orbit space.

Findings

Derived an upper bound for angular momentum and charge in terms of mass.

Applicable to asymptotically flat, axisymmetric initial data sets.

Enhances theoretical understanding of physical limits in Einstein-Maxwell spacetimes.

Abstract

We prove 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.