Resummation of Massive Gravity

Abstract

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.

v2: typos corrected; one discussion streamlined, one reference added

References in corpus (3)

• Cosmic Acceleration and the Helicity-0 Graviton
• Massive Gravity: Exorcising the Ghost
• Unitarity Check in Gravitational Higgs Mechanism

Cited by in corpus (6)

• Cosmic Acceleration and the Helicity-0 Graviton
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• On ghosts in theories of self-interacting massive spin-2 particles
• All Fierz-Paulian massive gravity theories have ghosts or superluminal modes
• Exact Solution to the "Auxiliary Extra Dimension" Model of Massive Gravity
• Generalized Framework for Auxiliary Extra Dimensions