Failures of homogeneous and isotropic cosmologies in extended quasidilaton massive gravity

Journal Article · Tue Oct 03 00:00:00 EDT 2017 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.96.084001· OSTI ID:1498879

Anselmi, Stefano ^[1]; Kumar, Saurabh ^[2]; Nacir, Diana López ^[3]; Starkman, Glenn D. ^[2]

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1. 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; OSTI
2. Case Western Reserve Univ., Cleveland, OH (United States). Dept. of Physics. CERCA. Inst. for the Science of Origins
3. 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); European Organization for Nuclear Research (CERN), Geneva (Switzerland); Paris Inst. of Astrophysics (IAP) (France)
• Sponsoring Organization: European Research Council (ERC); USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
• Grant/Contract Number: SC0009946
• OSTI ID: 1498879
• Journal Information: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 8 Vol. 96; ISSN 2470-0010
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

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