Phys. Rev. D, 111, 066005 (2025)

Weyl double copy in type D spacetime in four and five dimensions

Weicheng Zhao¹, Pu-Jian Mao¹ and Jun-Bao Wu^1,2

1 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, China.

2 Peng Huanwu Center for Fundamental Theory, Hefei, Anhui 230026, China

* zhaoweichengok@tju.edu.cn, pjmao@tju.edu.cn, junbao.wu@tju.edu.cn

Abstract

In this paper, we present a second realization of the Weyl double copy (WDC) in four-dimensional algebraic type D spacetime. We show that any type D vacuum solution admits an algebraically general Maxwell scalar on the curved background that squares to give the Weyl scalar. The WDC relation defines a scalar field that satisfies the Klein-Gordon equation sourced by the Weyl scalar on the curved background. We then extend the type D WDC to five dimensions.