On the construction of global models describing isolated rotating charged bodies; uniqueness of the exterior gravitational field

TL;DR

This paper extends previous uniqueness results for the exterior gravitational fields of rotating bodies in General Relativity to include charged objects, providing a more comprehensive understanding of such systems.

Contribution

It generalizes the uniqueness theorem from vacuum to electrovacuum cases, encompassing charged rotating bodies in GR.

Findings

Proves uniqueness of the exterior electrovacuum gravitational field for charged rotating bodies.

Extends previous vacuum results 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 of global models describing finite isolated rotating bodies in equilibrium in General Relativity (GR). The generalisation to exterior electrovacuum gravitational fields, to include charged rotating objects, is presented here.