Weyl double copy in Lifshitz spacetimes

TL;DR

This paper tests a regularization approach to reconcile two formulations of the classical double copy in Lifshitz black hole spacetimes, confirming its validity across multiple examples.

Contribution

It demonstrates that a specific regularization prescription effectively unifies the Kerr-Schild and Weyl double copy formulations in Lifshitz spacetimes.

Findings

The regularization prescription remains valid across different Lifshitz black hole examples.

Reconciliation of the two double copy formulations is achievable with the proposed method.

The approach addresses previous challenges in applying the double copy to Lifshitz geometries.

Abstract

Lifshitz black hole solutions pose particular challenges for reconciling the two main formulations of the classical double copy: the Kerr-Schild double copy and the Weyl double copy. Recent work has suggested that consistency between the two can be restored, in certain cases, only by adopting a regularization prescription in the Weyl double copy. In this paper, we test this prescription on three examples from the literature, each with a distinct novel feature, and show that the prescription remains valid in all cases.