We thank Tim Adamo, Ricardo Monteiro and Donal O’Connell for discussions and / or
comments on the manuscript. CDW and NBA are supported by the U.K. Science and
Technology Facilities Council (STFC). AL is funded by a Conacyt studentship, and thanks
Queen Mary University of London for hospitalit

A Anastasiou

A Luna

A Sabio Vera

AH Taub

AK Ridgway

Andrés Luna

B Feng

C Cheung

C-H Fu

CD White

Chris D. White

CR Mafra

E Newman

G Mogull

GL Cardoso

H Johansson

H Kawai

J Nohle

JJ Carrasco

JJM Carrasco

L Borsten

L Mason

M Chiodaroli

M Tolotti

MB Green

Nadia Bahjat-Abbas

NEJ Bjerrum-Bohr

P-J Smet De

R Monteiro

R Saotome

RH Boels

S He

S Lee

S Litsey

S Melville

S Mizera

S Nagy

S Oxburgh

SG Naculich

SM Barnett

T Adamo

W Chen

WD Goldberger

Y-J Du

Z Bern

ZW Chong

Journal of High Energy Physics

English

arXiv

Abstract The double copy is a much-studied relationship between scattering amplitudes in gauge and gravity theories, that has subsequently been extended to classical field solutions. In nearly all previous examples, the graviton field is defined around Minkowski space. Recently, it has been suggested that one may set up a double copy for gravitons defined around a non-trivial background. We investigate this idea from the point of view of the classical double copy. First, we use Kerr-Schild spacetimes to construct graviton solutions in curved space, as double copies of gauge fields on non-zero gauge backgrounds. Next, we find that we can reinterpret such cases in terms of a graviton on a non-Minkowski background, whose single copy is a gauge field in the same background spacetime. The latter type of double copy persists even when the background is not of Kerr-Schild form, and we provide examples involving conformally flat metrics. Our results will be useful in extending the remit of the double copy, including to possible cosmological applications

Directory of Open Access Journals

The Kerr-Schild double copy in curved spacetime

The double copy is a much-studied relationship between scattering amplitudes in gauge and gravity theories, that has subsequently been extended to classical field solutions. In nearly all previous examples, the graviton field is defined around Minkowski space. Recently, it has been suggested that one may set up a double copy for gravitons defined around a non-trivial background. We investigate this idea from the point of view of the classical double copy. First, we use Kerr-Schild spacetimes to construct graviton solutions in curved space, as double copies of gauge fields on non-zero gauge backgrounds. Next, we find that we can reinterpret such cases in terms of a graviton on a non-Minkowski background, whose single copy is a gauge field in the same background spacetime. The latter type of double copy persists even when the background is not of Kerr-Schild form, and we provide examples involving conformally flat metrics. Our results will be useful in extending the remit of the double copy, including to possible cosmological applications

The Kerr-Schild double copy in curved spacetime

Abstract

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