N-Body Simulations of DGP and Degravitation Theories

Abstract

We perform N-body simulations of theories with infinite-volume extra dimensions, such as the Dvali-Gabadadze-Porrati (DGP) model and its higher-dimensional generalizations, where 4D gravity is mediated by massive gravitons. The longitudinal mode of these gravitons mediates an extra scalar force, which we model as a density-dependent modification to the Poisson equation. This enhances gravitational clustering, particularly on scales that have undergone mild nonlinear processing. While the standard non-linear fitting algorithm of Smith et al. overestimates this power enhancement on non-linear scales, we present a modified fitting formula that offers a remarkably good fit to our power spectra. Due to the uncertainty in galaxy bias, our results are consistent with precision power spectrum determinations from galaxy redshift surveys, even for graviton Compton wavelengths as small as 300 Mpc. Our model is sufficiently general that we expect it to capture the phenomenology of a wide class of related higher-dimensional gravity scenarios.

17 pages, 15 figures. v4: version accepted to Physical Review D. Associated code released at http://www.markcwyman.com/Code

References in corpus (24)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• The Uncorrelated Universe: Statistical Anisotropy and the Vanishing Angular Correlation Function in WMAP Years 1-3
• Degravitation of the Cosmological Constant and Graviton Width
• Non-linear Evolution of f(R) Cosmologies III: Halo Statistics
• Observational Tests of Modified Gravity
• Non-linear evolution of f(R) cosmologies II: power spectrum
• Non-linear evolution of f(R) cosmologies I: methodology
• Non-Local Modification of Gravity and the Cosmological Constant Problem
• Cascading DGP
• Large-Scale Tests of the DGP Model
• Predictive Power of Strong Coupling in Theories with Large Distance Modified Gravity
• Non-linear interactions in a cosmological background in the DGP braneworld
• Is Modified Gravity Required by Observations? An Empirical Consistency Test of Dark Energy Models
• N-Body Simulations of Alternate Gravity Models
• Nonlinear growth in modified gravity theories of dark energy
• Unveiling Chameleons in Tests of Gravitational Inverse-Square Law
• A sub-horizon framework for probing the relationship between the cosmological matter distribution and metric perturbations
• The Evolution of Bias - Generalized
• Near-Horizon Solution for DGP Perturbations
• Non Pauli-Fierz Massive Gravitons
• Large Scale Structure Formation of Normal Branch in DGP Brane World Model
• Contamination cannot explain the lack of large-scale power in the cosmic microwave background radiation
• Testing Gravity with the CFHTLS-Wide Cosmic Shear Survey and SDSS LRGs

Cited by in corpus (19)

• Beyond the Cosmological Standard Model
• Cluster Constraints on f(R) Gravity
• How to optimally parametrize deviations from General Relativity in the evolution of cosmological perturbations
• Dynamical Masses in Modified Gravity
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• Scale-dependent halo bias from scale-dependent growth
• A Fast Route to Non-Linear Clustering Statistics in Modified Gravity Theories
• Large-Scale Structure in Brane-Induced Gravity I. Perturbation Theory
• Instabilities of Spherical Solutions with Multiple Galileons and SO(N) Symmetry
• One Thousand and One Clusters: Measuring the Bulk Flow with the Planck ESZ and X-Ray Selected Galaxy Cluster Catalogs
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• A general framework to test gravity using galaxy clusters IV: Cluster and halo properties in DGP gravity
• Cosmological gravity on all scales: simple equations, required conditions, and a framework for modified gravity
• Simulation techniques for modified gravity
• Constraints on galileons from the positions of supermassive black holes
• The two-body potential of Vainshtein screened theories
• Euclid preparation. Simulations and nonlinearities beyond $\Lambda$CDM. 1. Numerical methods and validation
• An implementation of nDGP gravity in Pinocchio
• Testing gravity with the two-body problem