Phases of massive gravity

Sergei L. Dubovsky

    Research output: Contribution to journalArticle

    Abstract

    We systematically study the most general Lorentz-violating graviton mass invariant under three-dimensional Eucledian group. We find that at general values of mass parameters the massive graviton has six propagating degrees of freedom, and some of them are ghosts or lead to rapid classical instabilities. However, there is a number of different regions in the mass parameter space where massive gravity is described by a consistent low-energy effective theory with cutoff ∼ √mMPl. This theory is free of rapid instabilities and vDVZ discontinuity. Each of these regions is characterized by certain fine-tuning relations between mass parameters, generalizing the Fierz-Pauli condition. In some cases the required fine-tunings are consequences of the existence of the subgroups of the diffeomorphism group that are left unbroken by the graviton mass. We found two new cases, when the resulting theories have a property of UV insensitivity, i.e. remain well behaved after inclusion of arbitrary higher dimension operators without assuming any fine-tunings among the coefficients of these operators, besides those enforced by the symmetries. These theories can be thought of as generalizations of the ghost condensate model with a smaller residual symmetry group. We briefly discuss what kind of cosmology can one expect in massive gravity and argue that the allowed values of the graviton mass may be quite large, affecting growth of primordial perturbations, structure formation and, perhaps, enhancing the backreaction of inhomogeneities on the expansion rate of the Universe.

    Original languageEnglish (US)
    Pages (from-to)2569-2599
    Number of pages31
    JournalJournal of High Energy Physics
    Volume8
    Issue number10
    StatePublished - Oct 1 2004

    Fingerprint

    gravitons
    gravitation
    tuning
    ghosts
    operators
    symmetry
    subgroups
    cosmology
    condensates
    discontinuity
    inhomogeneity
    cut-off
    universe
    degrees of freedom
    inclusions
    perturbation
    expansion
    sensitivity
    coefficients
    energy

    Keywords

    • Classical Theories of Gravity
    • Cosmology of Theories beyond the SM
    • Space-Time Symmetries
    • Spontaneous Symmetry Breaking

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Dubovsky, S. L. (2004). Phases of massive gravity. Journal of High Energy Physics, 8(10), 2569-2599.

    Phases of massive gravity. / Dubovsky, Sergei L.

    In: Journal of High Energy Physics, Vol. 8, No. 10, 01.10.2004, p. 2569-2599.

    Research output: Contribution to journalArticle

    Dubovsky, SL 2004, 'Phases of massive gravity', Journal of High Energy Physics, vol. 8, no. 10, pp. 2569-2599.
    Dubovsky SL. Phases of massive gravity. Journal of High Energy Physics. 2004 Oct 1;8(10):2569-2599.
    Dubovsky, Sergei L. / Phases of massive gravity. In: Journal of High Energy Physics. 2004 ; Vol. 8, No. 10. pp. 2569-2599.
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