Massive Gravity: Exorcising the Ghost

Abstract

We consider Higgs massive gravity [1,2] and investigate whether a nonlinear ghost in this theory can be avoided. We show that although the theory considered in [10,11] is ghost free in the decoupling limit, the ghost nevertheless reappears in the fourth order away from the decoupling limit. We also demonstrate that there is no direct relation between the value of the Vainshtein scale and the existence of nonlinear ghost. We discuss how massive gravity should be modified to avoid the appearance of the ghost.

16 pages

References in corpus (3)

• The Vainshtein mechanism in the Decoupling Limit of massive gravity
• Massive Gravity: Resolving the Puzzles
• Bumpy black holes from spontaneous Lorentz violation

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• Covariant constraints in ghost free massive gravity
• Covariant constraints for generic massive gravity and analysis of its characteristics
• Massive Hermitian Gravity
• Exact Solution to the "Auxiliary Extra Dimension" Model of Massive Gravity
• Translation invariant time-dependent massive gravity: Hamiltonian analysis