ar X iv : 1 10 6 . 33 44 v 3 [ he p - th ] 4 A pr 2 01 2 Resolving the Ghost Problem in non - Linear Massive Gravity

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 nontrivial 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.

Cite this paper

@inproceedings{Rosen2012arXI, title={ar X iv : 1 10 6 . 33 44 v 3 [ he p - th ] 4 A pr 2 01 2 Resolving the Ghost Problem in non - Linear Massive Gravity}, author={Rachel A. Rosen}, year={2012} }