Vainshtein mechanism in massive gravity nonlinear sigma models

Katsuki Aoki, Shuntaro Mizuno

    研究成果: Article査読

    5 被引用数 (Scopus)


    We study the stability of the Vainshtein screening solution of massive gravity/bigravity based on the massive nonlinear sigma model as the effective action inside the Vainshtein radius. The effective action is obtained by taking the Λ2 decoupling limit around a curved spacetime. First we derive a general consequence that any Ricci flat Vainshtein screening solution is unstable when we take into account the excitation of the scalar graviton only. This instability suggests that the nonlinear excitation of the scalar graviton is not sufficient to obtain a successful Vainshtein screening in massive gravity/bigravity. Then to see the role of the excitation of the vector graviton, we study perturbations around the static and spherically symmetric solution obtained in bigravity explicitly. As a result, we find that linear excitations of the vector graviton cannot be helpful and the solution still suffers from a ghost and/or a gradient instability for any parameters of the theory for this background.

    ジャーナルPhysical Review D - Particles, Fields, Gravitation and Cosmology
    出版ステータスPublished - 2016 9月 20

    ASJC Scopus subject areas

    • 核物理学および高エネルギー物理学


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