Sources in the Weyl double copy

TL;DR

This paper extends the Weyl double copy framework to include gravitational sources, offering a systematic approach to non-vacuum spacetimes and providing new insights into charged black holes and Petrov type D solutions.

Contribution

It introduces a systematic extension of the Weyl double copy to non-vacuum spacetimes, broadening its applicability beyond vacuum solutions.

Findings

Provides a new perspective on Kerr-Newman black holes.

Extends the Weyl double copy to include sources.

Offers a systematic procedure for non-vacuum spacetimes.

Abstract

The Weyl double copy relates exact solutions in general relativity to exact solutions in gauge theory, formulated in the spinorial language. To date, the Weyl double copy is understood and employed only for vacuum spacetimes, and hence only to vacuum gauge theories. In this letter, we propose an extension to the Weyl double copy that provides a systematic procedure for treating gravitational sources. We show this extended Weyl double copy gives a new perspective on the Kerr-Newman black hole and the general class of Petrov type D electro-vac spacetimes.