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arXiv · 1106.3344

Resolving the Ghost Problem in non-Linear Massive Gravity

S. F. Hassan·Rachel A. Rosen
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Abstract

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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S. F. Hassan, Rachel A. Rosen. 2012-04-04. Resolving the Ghost Problem in non-Linear Massive Gravity. https://doi.org/10.1103/physrevlett.108.041101

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