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Article Dans Une Revue Physical Review D Année : 2017

Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity

Résumé

We analyze the extended quasidilaton massive gravity model around a Friedmann-Lemaître-Robertson-Walker cosmological background. We present a careful stability analysis of asymptotic fixed points. We find that the traditional fixed point cannot be approached dynamically, except from a perfectly fine-tuned initial condition involving both the quasidilaton and the Hubble parameter. A less-well examined fixed-point solution, where the time derivative of the zeroth Stückelberg field vanishes ϕ˙0=0, encounters no such difficulty, and the fixed point is an attractor in some finite region of initial conditions. We examine the question of the presence of a Boulware-Deser ghost in the theory. We show that the additional constraint that generically allows for the elimination of the Boulware-Deser mode is only present under special initial conditions. We find that the only possibility corresponds to the traditional fixed point and the initial conditions are the same fine-tuned conditions that allow the fixed point to be approached dynamically.

Dates et versions

hal-01645804 , version 1 (23-11-2017)

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Stefano Anselmi, Saurabh Kumar, Diana López Nacir, Glenn D. Starkman. Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity. Physical Review D, 2017, 96 (8), pp.084001. ⟨10.1103/PhysRevD.96.084001⟩. ⟨hal-01645804⟩
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