The Kerr-Schild double copy in curved spacetime

By N. Bahjat-Abbas, A. Luna, Chris D. White. 2017

133 citations recorded by the source corpus.

A bstractThe 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/560a1045d06328f3b946b011ffef25abf493a56d

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Citations in the corpus

Double copy for massive quantum particles with spin (2019, background): “For genuinely non-linear problems, it has been perturbatively extended to problems involving classical sources and gravitational radiation [43, 50–62].”
Type D spacetimes and the Weyl double copy (2018, unknown): “y four. The combination ˘1 + ˘2 is associated with a AA_ = a Aa A_ in the case a A = (1;1) = a A_, so that 6Of course, it may be instructive to consider the double copy on a curved background as in [57,58]. This is not the intent of our work. { 7 { a = ˙ A _ a AA_ = p 2u. Hence, the principal null ”
The classical double copy in maximally symmetric spacetimes (2017, background): “Contrary to the solutions analyzed in [50], we find that all examples we have considered lead to reasonable “Type B” single and zeroth copies (although time-dependent solutions warrant additional study).”