The Kerr-Schild double copy in curved spacetime

Bahjat-Abbas, N., Luna, A. and White, C. D. (2017) The Kerr-Schild double copy in curved spacetime. Journal of High Energy Physics, 2017(12), 4. (doi: 10.1007/JHEP12(2017)004)

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.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Luna Godoy, Mr Andres
• Authors: Bahjat-Abbas, N., Luna, A., and White, C. D.
• College/School: College of Science and Engineering > School of Physics and Astronomy
• Journal Name: Journal of High Energy Physics
• Publisher: Springer
• ISSN: 1126-6708
• ISSN (Online): 1029-8479
• Copyright Holders: Copyright © 2017 The Authors
• First Published: First published in Journal of High Energy Physics 2017(12):4
• Publisher Policy: Reproduced under a Creative Commons License