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Non-Linear Massive Gravity with Additional Primary Constraint and Absence of Ghosts

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arxiv 1204.2957 v1 pith:DRBBV3NF submitted 2012-04-13 hep-th

classification hep-th
keywords constraintconstraintsgravitymassiveadditionalclasscorrespondsnon-linear
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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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    Keeping the lapse free in deconstruction yields scalar-tensor multi-gravity, which reproduces 5D Randall-Sundrum brane cosmology equations in the continuum limit.

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