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

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{sub *}{approx_equal}2h Mpc{sup -1} at redshift z=1 and k{sub *}{approx_equal}1h Mpc{sup -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 themore » 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.« less

Authors:
;  [1]
  1. Center for Cosmology and Particle Physics, Department of Physics, New York University, New York 10003, New York (United States)
Publication Date:
OSTI Identifier:
21308622
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.80.104005; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COMPUTERIZED SIMULATION; CORRECTIONS; DENSITY; EVOLUTION; FLUCTUATIONS; FOURIER TRANSFORMATION; GRAVITATION; MANY-BODY PROBLEM; MASS; MATTER; METRICS; NONLINEAR PROBLEMS; PERTURBATION THEORY; POWER DENSITY; RED SHIFT; RELAXATION; RENORMALIZATION; SPACE DEPENDENCE; SPECTRA

Citation Formats

Chan, K C, and Scoccimarro, Roman. Large-scale structure in brane-induced gravity. II. Numerical simulations. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.104005.
Chan, K C, & Scoccimarro, Roman. Large-scale structure in brane-induced gravity. II. Numerical simulations. United States. https://doi.org/10.1103/PHYSREVD.80.104005
Chan, K C, and Scoccimarro, Roman. 2009. "Large-scale structure in brane-induced gravity. II. Numerical simulations". United States. https://doi.org/10.1103/PHYSREVD.80.104005.
@article{osti_21308622,
title = {Large-scale structure in brane-induced gravity. II. Numerical simulations},
author = {Chan, K C and Scoccimarro, Roman},
abstractNote = {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{sub *}{approx_equal}2h Mpc{sup -1} at redshift z=1 and k{sub *}{approx_equal}1h Mpc{sup -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.},
doi = {10.1103/PHYSREVD.80.104005},
url = {https://www.osti.gov/biblio/21308622}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 10,
volume = 80,
place = {United States},
year = {Sun Nov 15 00:00:00 EST 2009},
month = {Sun Nov 15 00:00:00 EST 2009}
}