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arXiv:1011.1232 [hep-th]AbstractReferencesReviewsResources

Resummation of Massive Gravity

Claudia de Rham, Gregory Gabadadze, Andrew J. Tolley

Published 2010-11-04, updated 2010-11-08Version 2

We construct four-dimensional covariant non-linear theories of massive gravity which are ghost-free in the decoupling limit to all orders. These theories resum explicitly all the nonlinear terms of an effective field theory of massive gravity. We show that away from the decoupling limit the Hamiltonian constraint is maintained at least up to and including quartic order in non-linearities, hence, excluding the possibility of the Boulware-Deser ghost up to this order. We also show that the same remains true to all orders in a similar toy-model.

Comments: v2: typos corrected; one discussion streamlined, one reference added
Journal: Phys.Rev.Lett.106:231101,2011
Categories: hep-th, gr-qc
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