Nonlocal Gravity and Structure in the Universe

Abstract

The observed acceleration of the Universe can be explained by modifying general relativity. One such attempt is the nonlocal model of Deser and Woodard. Here we fix the background cosmology using results from the Planck satellite and examine the predictions of nonlocal gravity for the evolution of structure in the universe, confronting the model with three tests: gravitational lensing, redshift space distortions, and the estimator of gravity $E_G$. Current data favor general relativity (GR) over nonlocal gravity: fixing primordial cosmology with the best fit parameters from Planck leads to weak lensing results favoring GR by 5.9 sigma; redshift space distortions measurements of the growth rate preferring GR by 7.8 sigma; and the single measurement of $E_G$ favoring GR, but by less than 1-sigma. The significance holds up even after the parameters are allowed to vary within Planck limits. The larger lesson is that a successful modified gravity model will likely have to suppress the growth of structure compared to general relativity.

5 pages, 5 figures

References in corpus (15)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• $\nu \Lambda$CDM: Neutrinos help reconcile Planck with the Local Universe
• On the Growth of Perturbations as a Test of Dark Energy
• The Parameterized Post-Friedmann Framework for Theories of Modified Gravity: Concepts, Formalism and Examples
• Dynamics of Nonlocal Cosmology
• Probing modifications of General Relativity using current cosmological observations
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Linear perturbations in Galileon gravity models
• Observational Viability and Stability of Nonlocal Cosmology
• The WiggleZ Dark Energy Survey: measuring the cosmic growth rate with the two-point galaxy correlation function
• The Integrated Sachs-Wolfe effect in $f(R)$ gravity

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• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
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• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Non-local gravity and dark energy
• Nonlocal Models of Cosmic Acceleration
• Non-local gravity and comparison with observational datasets
• Nonlinear structure formation in Nonlocal Gravity
• Apparent ghosts and spurious degrees of freedom in non-local theories
• Non-local gravity and comparison with observational datasets. II. Updated results and Bayesian model comparison with $\Lambda$CDM
• Nonlocal Cosmology II --- Cosmic acceleration without fine tuning or dark energy
• Ricci-inverse gravity: a novel alternative gravity, its flaws, and how to cure them
• Dynamical analysis of $R\frac{1}{{\square }^2}R$ cosmology: Impact of initial conditions and constraints from supernovae
• Gravitational waves in non-local gravity
• Non-local gravity with a Weyl-square term
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Structure formation in the Deser-Woodard nonlocal gravity model: a reappraisal
• Acausality in Nonlocal Gravity Theory
• Nonlocal Metric Realizations of MOND
• Stability analysis and future singularity of the $m^{2}R{\square }^{-2}R$ model of non-local gravity
• Determining Cosmology for a Nonlocal Realization of MOND
• Revival of the Deser-Woodard nonlocal gravity model: Comparison of the original nonlocal form and a localized formulation
• Conformal symmetry and nonlinear extensions of nonlocal gravity
• Observational Constraints in Nonlocal Gravity: the Deser-Woodard Case
• Primordial bouncing cosmology in the Deser-Woodard nonlocal gravity
• On nonlocally interacting metrics, and a simple proposal for cosmic acceleration
• Light bending by a slowly rotating source in quadratic theories of gravity
• Planck/SDSS Cluster Mass and Gas Scaling Relations for a Volume-Complete redMaPPer Sample
• Growth of perturbations in nonlocal gravity with non-$\Lambda$CDM background
• Structure Formation in Nonlocal MOND
• Structure formation in the new Deser-Woodard nonlocal gravity model
• Black hole quasinormal modes and isospectrality in Deser-Woodard nonlocal gravity
• On the uniqueness of $\Lambda$CDM-like evolution for homogeneous and isotropic cosmology in General Relativity
• Dark energy and dimensional transmutation in $R^2$ gravity
• Do the Spirits Rise?
• First and second order cosmological perturbations in light mass Galileon models
• Structure Formation in Non-local Bouncing Models
• Cosmological evolution of generalized non-local gravity
• Late-times asymptotic equation of state for a class of nonlocal theories of gravity
• Does nonlocal gravity yield divergent gravitational energy-momentum fluxes?
• The Case for Nonlocal Modifications of Gravity
• Accelerated expansion as manifestation of gravity: when Dark Energy belongs to the left