The Kerr-Schild double copy in curved spacetime

A bstract 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 suggest...

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Bibliographic Details
Published in:The journal of high energy physics 2017-12, Vol.2017 (12), p.1-26, Article 4
Main Authors: Bahjat-Abbas, Nadia, Luna, Andrés, White, Chris D.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Elementary Particles
Gauge-gravity correspondence
Gravitation
Gravitons
High energy physics
Minkowski space
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scattering Amplitudes
Spacetime
String Theory
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2017)004