Boulware-Deser ghost in extended quasidilaton massive gravity

Abstract

In the extended quasidilaton massive gravity we perform a nonlinear transformation of the shift vector and then calculate the second derivatives of the Hamiltonian density with respect to the lapse function and the (nonlinearly transformed) shift vector. It is then shown that the $4\times 4$ Hessian matrix is invertible, meaning that the equations of motion for the lapse function and the shift vector simply determine themselves. Therefore, there is no primary constraint that removes the Boulware-Deser ghost.

13 pages

References in corpus (14)

• Resummation of Massive Gravity
• Interacting Spin-2 Fields
• Massive gravity: nonlinear instability of the homogeneous and isotropic universe
• Quasi-Dilaton: Theory and Cosmology
• Anisotropic Friedmann-Robertson-Walker universe from nonlinear massive gravity
• Towards consistent extension of quasidilaton massive gravity
• Minimal theory of massive gravity
• A Covariant Master Theory for Novel Galilean Invariant Models and Massive Gravity
• Phenomenology in minimal theory of massive gravity
• Generalized quasi-dilaton theory
• A new quasidilaton theory of massive gravity
• Graviton mass might reduce tension between early and late time cosmological data
• Minimal theory of quasidilaton massive gravity
• New Quasidilaton theory in Partially Constrained Vielbein Formalism

Cited by in corpus (4)

• Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity
• Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory
• On the ghost issue of extended quasidilaton
• Linear growth of structure in massive gravity