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Classical Kerr-Schild double copy in bigravity for maximally symmetric spacetimes

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arXiv:2403.19608v1 Announce Type: cross
Abstract: A generalized Kerr-Schild ansatz is proposed for the two metrics in bigravity which leads to linear interactions between the metrics and can be studied in the context of the double copy. By contracting the resulting spin-2 field bigravity equations of motion using Killing vector fields, we arrive to the single and zeroth copy equations for our ansatz. For the case of stationary solutions, we obtain two Maxwell and two conformally coupled equations for the single and zeroth copy respectively, and we do not have linear interactions. In the time-dependent case we obtain equations for our fields which are coupled. By decoupling these equations and at the zeroth copy level, we obtain a massless and a massive field whose mass is proportional to the Fierz-Pauli mass and depends on the interaction coefficients of the interaction potential between the metrics.

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