The classical double copy in maximally symmetric spacetimes

By Mariana Carrillo-González, R. Penco, M. Trodden. Journal of High Energy Physics, 2017

143 citations recorded by the source corpus.

The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we extend this correspondence to maximally symmetric curved spacetimes. We consider asymptotically (A)dS spacetimes in Kerr-Schild form and construct the corresponding single and zeroth copies. In order to clarify the interpretation of these copies, we study several examples including (A)dS-Schwarzschild, (A)dS-Kerr, black strings, black branes, and waves, paying particular attention to the source terms. We find that the single and zeroth copies of stationary solutions satisfy different equations than those of wave solutions. We also consider how to obtain Einstein-Maxwell solutions using this procedure. Finally, we derive the classical single and zeroth copy of the BTZ black hole.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/534e2589581d0ed06521305a1e82245e37c09329

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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, background): “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 ”