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2011

Resolving the Ghost Problem in non-Linear Massive Gravity

Hassan, S. F., Rosen, Rachel A.

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We analyze the ghost issue in the recently proposed models of non-linear massive gravity in the ADM formalism.

We show that, in the entire two-parameter family of actions, the Hamiltonian constraint is maintained at the complete non-linear level and we argue for the existence of a non-trivial secondary constraint.
This implies the absence of the pathological Boulware-Deser ghost to all orders.
To our knowledge, this is the first demonstration of the existence of a consistent theory of massive gravity at the complete non-linear level, in four dimensions.

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Then

C. de Rham and G. Gabadadze, Phys. Rev. D 82
Original
2010
Later among the works it cites.
L. Alberte, A. H. Chamseddine and V. Mukhanov, JHEP 1104
Original
2011
Closest in time.
S. F. Hassan and R. A. Rosen, arXiv:1111.2070 [hep-th]
Original
2070
Closest in time.

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