Einstein-Maxwell theory and the Weyl double copy

TL;DR

This paper extends the Weyl double copy framework to electrovacuum Petrov type D spacetimes, including the charged C-metric, and introduces a new double copy prescription for the Ricci spinor, broadening the classical double copy correspondence.

Contribution

It provides the first complete double copy analysis of electrovacuum Petrov type D spacetimes and introduces a novel double copy prescription for the Ricci spinor.

Findings

Extended Weyl double copy to electrovacuum solutions.

Analyzed the charged C-metric within the double copy framework.

Proposed a new double copy relation for the Ricci spinor.

Abstract

The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational sources consistent with the classical Kerr-Schild double copy. Using this generalization, here we provide a complete double copy analysis of electrovacuum Petrov type D spacetimes. This includes the first analysis of the charged C-metric, whose single copy interpretation invokes the two-potential formalism of electrodynamics. We also present the first double copy prescription for the Ricci spinor, which for non-accelerating spacetimes, takes a form similar to the original double copy relation for the Weyl spinor.