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Boulware-Deser ghost in extended quasidilaton massive gravity
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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.
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Cited by 1 Pith paper
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Vector Perturbations in Ghost-Free Quasidilaton Massive Gravity
Minimal scalar, Maxwell, or Proca matter does not restore the vanishing vector kinetic coefficient K_V on Branch II of ghost-free quasidilaton massive gravity.
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