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Hamiltonian formalism of the ghost free Tri(-Multi)gravity theory
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We study the Hamiltonian structure of tri-gravity and four-gravity in the framework of ADM decomposition of the corresponding metrics. Hence we can deduce the general structure of the constraint system of multi-gravity. We will show it is possible and consistent to assume additional constraints which provide the needed first class constraints for generating diffeomorphism as well as enough second class constraints to omit the ghosts.
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Existence of ghost-eliminating constraints in multivielbein theory
Under an equal-boost restriction and an assumed common 3+1 slicing, multivielbein theory possesses tertiary constraints that kill the ghost momenta, supporting a 2+5(N−1) mode count.
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