The formation of cosmic structure with modified Newtonian dynamics

Abstract

I consider the growth of inhomogeneities in a low-density baryonic, vacuum energy-dominated universe in the context of modified Newtonian dynamics (MOND). I first write down a two-field Langrangian-based theory of MOND (non-relativistic), which embodies several assumptions such as constancy of the MOND acceleration parameter, association of a MOND force with peculiar accelerations only, and the deceleration of the Hubble flow as a background field which influences the dynamics of a finite size region. In the context of this theory, the equation for the evolution of spherically symmetric over-densities is non-linear and implies very rapid growth even in a low-density background, particularly at the epoch when the putative cosmological constant begins to dominate the Hubble expansion. Small comoving scales enter the MOND regime earlier than larger scales and therefore evolve to large over-densities sooner. Taking the initial COBE-normalized power spectrum provided by CMBFAST (Seljak & Zeldarriaga 1996), I find that the final power-spectrum resembles that of the standard LCDM universe and thus retains the empirical successes of that model.

revised version includes a Lagrangian-based, non-relativistic theory of modified dynamics; conclusions are unchanged; accepted for publication (ApJ)

References in corpus (5)

• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• First Estimations of Cosmological Parameters From BOOMERANG
• The SBF Survey of Galaxy Distances. II. Local and Large-Scale Flows
• Distinguishing Between CDM and MOND: Predictions for the Microwave Background
• BOOMERanG Data Suggest a Purely Baryonic Universe

Cited by in corpus (35)

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• Clusters of galaxies with modified Newtonian dynamics (MOND)
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• From galactic bars to the Hubble tension: weighing up the astrophysical evidence for Milgromian gravity
• A Tale of Two Paradigms: the Mutual Incommensurability of LCDM and MOND
• The KBC void and Hubble tension contradict $\Lambda$CDM on a Gpc scale $-$ Milgromian dynamics as a possible solution
• Are sterile neutrinos consistent with clusters, the CMB and MOND?
• Cosmological Structure Formation under MOND: a new numerical solver for Poisson's equation
• A massive blow for $\Lambda$CDM $-$ the high redshift, mass, and collision velocity of the interacting galaxy cluster El Gordo contradicts concordance cosmology
• TeVeS Cosmology : Covariant formalism for the background evolution and linear perturbation theory
• Modified Newtonian Dynamics of Large Scale Structure
• The abundance of galaxy clusters in MOND: Cosmological simulations with massive neutrinos
• Constraints on the long-range properties of gravity from weak gravitational lensing
• The collision velocity of the bullet cluster in conventional and modified dynamics
• Cosmological fluctuation growth in bimetric MOND
• Confrontation of MOND Predictions with WMAP First Year Data
• A generic problem with purely metric formulations of MOND
• A historical perspective on Modified Newtonian Dynamics
• Marriage à-la-MOND: Baryonic dark matter in galaxy clusters and the cooling flow puzzle
• Galactic Halos in MONDian Cosmological Simulations
• Hydrodynamical structure formation in Milgromian cosmology
• Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations
• Squeezing MOND into a Cosmological Scenario
• The end of the Dark Ages in MOND
• Spherical Collapse in Modified Newtonian Dynamics (MOND)
• Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity
• Modeling the formation of galaxy clusters in MOND
• Physics of galactic colliders: high speed satellites in LCDM vs MONDian cosmology
• Matter and twin matter in bimetric MOND
• Predictions for the sky-averaged depth of the 21cm absorption signal at high redshift in cosmologies with and without non-baryonic cold dark matter
• The Magellanic Stream in Modified Newtonian Dynamics
• On the separation between baryonic and dark matter: evidence for phantom dark matter?
• The Effect of Cosmological Background Dynamics on the Spherical Collapse in MOND
• Consistent cosmological structure formation on all scales in relativistic extensions of MOND
• PySCo: A fast Particle-Mesh $N$-body code for modified gravity simulations in Python