Resolving the Ghost Problem in non-Linear Massive Gravity

Details Resolving the Ghost Problem in non-Linear Massive Gravity Resolving the Ghost Problem in non-Linear Massive Gravity

2011-06-16

arxiv.org/abs/1106.3344v3

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, comments and reference added, version accepted for publication

Scientific paper

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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