On global models for isolated rotating axisymmetric charged bodies; uniqueness of the exterior field

TL;DR

This paper extends a known uniqueness result for vacuum gravitational fields to include charged, rotating bodies in General Relativity, establishing the uniqueness of their exterior electrovacuum solutions.

Contribution

It generalizes previous vacuum results to the charged case, proving the uniqueness of exterior electrovacuum fields for isolated rotating charged bodies.

Findings

Proves the uniqueness of exterior electrovacuum solutions for charged rotating bodies.

Extends the vacuum uniqueness theorem to include electromagnetic fields.

Provides a theoretical foundation for modeling charged rotating astrophysical objects.

Abstract

A relatively recent study by Mars and Senovilla provided us with a uniqueness result for the exterior vacuum gravitational field generated by an isolated distribution of matter in axial rotation in equilibrium in General Relativity. The generalisation to exterior electrovacuum gravitational fields, to include charged rotating objects, is presented here.