Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity
- PSL Research Univ. and Univ. Paris Diderot, Meudon (France). Paris Observatory; Paris Inst. of Astrophysics (IAP) (France); Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA. Inst. for the Science of Origins
- Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA. Inst. for the Science of Origins
- European Organization for Nuclear Research (CERN), Geneva (Switzerland). Theoretical Physics Dept.
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 $${\stackrel{{}}{{\phi}}}^{0}=0$$, 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.
- Research Organization:
- Case Western Reserve Univ., Cleveland, OH (United States); Paris Inst. of Astrophysics (IAP) (France); European Organization for Nuclear Research (CERN), Geneva (Switzerland)
- Sponsoring Organization:
- USDOE Office of Science (SC), High Energy Physics (HEP); European Research Council (ERC)
- Grant/Contract Number:
- SC0009946; 279954
- OSTI ID:
- 1498879
- Journal Information:
- Physical Review. D., Vol. 96, Issue 8; ISSN 2470-0010
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
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