Large-scale structure in brane-induced gravity. II. Numerical simulations

Kwan Chuen Chan, Román Scoccimarro

    Research output: Contribution to journalArticle

    Abstract

    We use N-body simulations to study the nonlinear structure formation in brane-induced gravity, developing a new method that requires alternate use of Fast Fourier Transforms and relaxation. This enables us to compute the nonlinear matter power spectrum and bispectrum, the halo mass function, and the halo bias. From the simulation results, we confirm the expectations based on analytic arguments that the Vainshtein mechanism does operate as anticipated, with the density power spectrum approaching that of standard gravity within a modified background evolution in the nonlinear regime. The transition is very broad and there is no well defined Vainshtein scale, but roughly this corresponds to k*□ 2h Mpc-1 at redshift z=1 and k * □ 1h Mpc-1 at z=0. We checked that while extrinsic curvature fluctuations go nonlinear, and the dynamics of the brane-bending mode C receives important nonlinear corrections, this mode does get suppressed compared to density perturbations, effectively decoupling from the standard gravity sector. At the same time, there is no violation of the weak field limit for metric perturbations associated with C. We find good agreement between our measurements and the predictions for the nonlinear power spectrum presented in paper I, that rely on a renormalization of the linear spectrum due to nonlinearities in the modified gravity sector. A similar prediction for the mass function shows the right trends. Our simulations also confirm the induced change in the bispectrum configuration dependence predicted in paper I.

    Original languageEnglish (US)
    Article number104005
    JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
    Volume80
    Issue number10
    DOIs
    StatePublished - Nov 6 2009

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    gravitation
    power spectra
    halos
    sectors
    simulation
    perturbation
    predictions
    decoupling
    nonlinearity
    curvature
    trends
    configurations

    ASJC Scopus subject areas

    • Nuclear and High Energy Physics

    Cite this

    Large-scale structure in brane-induced gravity. II. Numerical simulations. / Chan, Kwan Chuen; Scoccimarro, Román.

    In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 80, No. 10, 104005, 06.11.2009.

    Research output: Contribution to journalArticle

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