Structure Formation in Nonlocal MOND

Abstract

We consider structure formation in a nonlocal, metric-based realization of Milgrom's MOdified Newtonian Dynamics (MOND). We derive the general equations for linearized scalar perturbations about the $\Lambda$CDM expansion history. These equations are considerably simplified for sub-horizon modes, and it becomes obvious (in this model) that the MOND enhancement is not sufficient to allow ordinary matter to drive structure formation. We discuss ways in which the model might be changed to correct the problem.

arXiv comment26 pages, 4 figures, uses LaTeX 2e, Version 2 revised for publication with some errors corrected and new references

References in corpus (42)

• Planck 2015 results. XIII. Cosmological parameters
• A 2.4% Determination of the Local Value of the Hubble Constant
• Relativistic gravitation theory for the MOND paradigm
• Dark Matter Results From 54-Ton-Day Exposure of PandaX-II Experiment
• First Dark Matter Search Results from the XENON1T Experiment
• The Radial Acceleration Relation in Rotationally Supported Galaxies
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Nonlocal Cosmology
• One Law To Rule Them All: The Radial Acceleration Relation of Galaxies
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Modifying gravity with the Aether: an alternative to Dark Matter
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Bimetric MOND gravity
• GW170817 Falsifies Dark Matter Emulators
• Can Cosmic Structure form without Dark Matter?
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Nonlocal Models of Cosmic Acceleration
• A Nonlocal Metric Formulation of MOND
• The Real Problem with MOND
• The MOND limit from space-time scale invariance
• Observational Viability and Stability of Nonlocal Cosmology
• Nonlocal metric formulations of MOND with sufficient lensing
• Structure formation in a nonlocally modified gravity model
• On the growth of structure in theories with a dynamical preferred frame
• TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory
• TeVeS gets caught on caustics
• The cosmological behavior of Bekenstein's modified theory of gravity
• Nonlocal Gravity and Structure in the Universe
• Do Newton's G and Milgrom's a_0 vary with cosmological epoch ?
• Modified gravity approach based on a preferred time foliation
• Quantum corrections to the gravitational potentials of a point source due to conformal fields in de Sitter
• Gravity Gets There First with Dark Matter Emulators
• Quantum Scalar Corrections to the Gravitational Potentials on de Sitter Background
• Can a non-local model of gravity reproduce Dark Matter effects in agreement with MOND?
• Structure formation in the Deser-Woodard nonlocal gravity model: a reappraisal
• Nonlocal Metric Realizations of MOND
• Gravitational waves in bimetric MOND
• Revival of the Deser-Woodard nonlocal gravity model: Comparison of the original nonlocal form and a localized formulation
• Determining Cosmology for a Nonlocal Realization of MOND
• One-loop quantum electrodynamic correction to the gravitational potentials on de Sitter spacetime
• Hiding Lorentz Invariance Violation with MOND

Cited by in corpus (9)

• A new relativistic theory for Modified Newtonian Dynamics
• Neutrino oscillations in extended theories of gravity
• Casimir effect in quadratic theories of gravity
• Primordial bouncing cosmology in the Deser-Woodard nonlocal gravity
• Light bending by a slowly rotating source in quadratic theories of gravity
• Relativistic Khronon Theory in agreement with Modified Newtonian Dynamics and Large-Scale Cosmology
• Time evolution of the local gravitational parameters and gravitational wave polarizations in a relativistic MOND theory
• Logarithmic corrections to Newtonian gravity and Large Scale Structure
• Does nonlocal gravity yield divergent gravitational energy-momentum fluxes?