Resummation of massive gravity.

By Claudia de Rham, G. Gabadadze, A. Tolley. Physical Review Letters, 2010

1,574 citations recorded by the source corpus.

We construct four-dimensional covariant nonlinear 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 nonlinearities, 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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Oceanography

View Paper: https://www.semanticscholar.org/paper/07edfe04dc199ebeee67f30287d2c25738e6f316

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Citations in the corpus

On couplings to matter in massive (bi-)gravity (2014, background): “ories of modied gravity in the infrared and their connections with the late behaviour of the Universe, see Ref. [1] for a recent review. Despite many advances in our understanding of massive gravity [2,3], bi-gravity [4] { 1 { and multi-gravity [5] (see Refs. [6{8]), much remains to be explored in t”
Universal Resistivity from Holographic Massive Gravity (2013, methodology): “Recently, a class of non-linear massive gravity theories has been proposed [20, 21] in which the ghost field is absent [22, 23].”
Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity (2014, methodology): “Models such as Dvali-Gabadadze-Porrati (DGP) gravity [53] or ghost-free massive gravity [54–56] lie outside of our purview.”
Solid holography and massive gravity (2015, background): “The class of HMGs relevant for CM is much more general than the dRGT models [10] that have been considered mostly so far (see e.”
Massive Cosmologies (2011, methodology): “[1, 3], where it was also shown to be ghost-free away from the DL up to and including quartic order in nonlinearities [1].”
Theoretical Aspects of Massive Gravity (2011, methodology): “The X (n) μν satisfy the following important properties: (27)Note that our definition of the X (n) μν used here differs by a factor of 2 from that of [102].”