A double Kerr-Schild ansatz in bigravity yields Plebanski-Demianski-type solutions whose double, single, and zeroth copy fields satisfy Maxwell and Klein-Gordon equations in Plebanski coordinates.
Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts
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abstract
We complete the Hamiltonian analysis of specific model of non-linear massive gravity that was started in arXiv:1112.5267. We identify the primary constraint and corresponding secondary constraint. We show that they are the second class constraints and hence they lead to the elimination of the additional scalar mode. We also find that the remaining constraints are the first class constraints with the structure that corresponds to the manifestly diffeomorphism invariant theory. Finally we determine the number of physical degrees of freedom and we show that it corresponds to the number of physical modes of massive gravity.
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Pleba\'nski-Demia\'nski solutions in bigravity and Kerr-Schild double copy relations using an effective metric
A double Kerr-Schild ansatz in bigravity yields Plebanski-Demianski-type solutions whose double, single, and zeroth copy fields satisfy Maxwell and Klein-Gordon equations in Plebanski coordinates.