Note About Consistent Extension of Quasidilaton Massive Gravity

Abstract

This note is devoted to the Hamiltonian analysis of extension of quasidilaton massive gravity as was proposed recently in [arXiv:1306.5502]. We show that for given formulation of the theory the additional primary constraint that is responsible for the elimination of the Boulware-Deser ghost is missing. We compare this situation with quasidilaton massive gravity. Finally we propose ghost free extension of quasidilaton massive gravity.